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Finding the Fourth Proportional to 102.69, 141.66 and 73.13

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Solution

The fourth proportional to 102.69, 141.66 and 73.13 is: 100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.69 : 141.66 = 73.13 : x
  2. Step 2: Convert to fraction form
    102.69/141.66 = 73.13/x
  3. Step 3: Cross multiply
    102.69x = 141.66 × 73.13
  4. Step 4: Simplify right side
    102.69x = 10,359.60
  5. Step 5: Solve for x
    x = 10,359.60/102.69
  6. Step 6: Final answer
    x = 100.88

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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.