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Finding the Fourth Proportional to 120.38, 166.13 and 65.12

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Solution

The fourth proportional to 120.38, 166.13 and 65.12 is: 89.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 166.13 = 65.12 : x
  2. Step 2: Convert to fraction form
    120.38/166.13 = 65.12/x
  3. Step 3: Cross multiply
    120.38x = 166.13 × 65.12
  4. Step 4: Simplify right side
    120.38x = 10,818.00
  5. Step 5: Solve for x
    x = 10,818.00/120.38
  6. Step 6: Final answer
    x = 89.86

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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.