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Finding the Fourth Proportional to 103.52, 142.77 and 72.38

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Solution

The fourth proportional to 103.52, 142.77 and 72.38 is: 99.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.52 : 142.77 = 72.38 : x
  2. Step 2: Convert to fraction form
    103.52/142.77 = 72.38/x
  3. Step 3: Cross multiply
    103.52x = 142.77 × 72.38
  4. Step 4: Simplify right side
    103.52x = 10,333.69
  5. Step 5: Solve for x
    x = 10,333.69/103.52
  6. Step 6: Final answer
    x = 99.82

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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.