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Finding the Fourth Proportional to 117.40, 162.06 and 76

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Solution

The fourth proportional to 117.40, 162.06 and 76 is: 104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.40 : 162.06 = 76 : x
  2. Step 2: Convert to fraction form
    117.40/162.06 = 76/x
  3. Step 3: Cross multiply
    117.40x = 162.06 × 76
  4. Step 4: Simplify right side
    117.40x = 12,316.56
  5. Step 5: Solve for x
    x = 12,316.56/117.40
  6. Step 6: Final answer
    x = 104.91

Related Problems

Find fourth proportional to 58.70, 81.03 and 38
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.