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Finding the Fourth Proportional to 117.40, 161.84 and 89.76

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Solution

The fourth proportional to 117.40, 161.84 and 89.76 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.40 : 161.84 = 89.76 : x
  2. Step 2: Convert to fraction form
    117.40/161.84 = 89.76/x
  3. Step 3: Cross multiply
    117.40x = 161.84 × 89.76
  4. Step 4: Simplify right side
    117.40x = 14,526.76
  5. Step 5: Solve for x
    x = 14,526.76/117.40
  6. Step 6: Final answer
    x = 123.74

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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.