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Finding the Fourth Proportional to 102.49, 141.39 and 65.14

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Solution

The fourth proportional to 102.49, 141.39 and 65.14 is: 89.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.49 : 141.39 = 65.14 : x
  2. Step 2: Convert to fraction form
    102.49/141.39 = 65.14/x
  3. Step 3: Cross multiply
    102.49x = 141.39 × 65.14
  4. Step 4: Simplify right side
    102.49x = 9,210.14
  5. Step 5: Solve for x
    x = 9,210.14/102.49
  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.