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Finding the Fourth Proportional to 103.72, 142.78 and 97.12

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Solution

The fourth proportional to 103.72, 142.78 and 97.12 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.72 : 142.78 = 97.12 : x
  2. Step 2: Convert to fraction form
    103.72/142.78 = 97.12/x
  3. Step 3: Cross multiply
    103.72x = 142.78 × 97.12
  4. Step 4: Simplify right side
    103.72x = 13,866.79
  5. Step 5: Solve for x
    x = 13,866.79/103.72
  6. Step 6: Final answer
    x = 133.69

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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.