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Finding the Fourth Proportional to 117.50, 162.06 and 76.10

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Solution

The fourth proportional to 117.50, 162.06 and 76.10 is: 104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.50 : 162.06 = 76.10 : x
  2. Step 2: Convert to fraction form
    117.50/162.06 = 76.10/x
  3. Step 3: Cross multiply
    117.50x = 162.06 × 76.10
  4. Step 4: Simplify right side
    117.50x = 12,332.55
  5. Step 5: Solve for x
    x = 12,332.55/117.50
  6. Step 6: Final answer
    x = 104.96

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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.