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Finding the Fourth Proportional to 100.24, 137.54 and 97.52

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Solution

The fourth proportional to 100.24, 137.54 and 97.52 is: 133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.24 : 137.54 = 97.52 : x
  2. Step 2: Convert to fraction form
    100.24/137.54 = 97.52/x
  3. Step 3: Cross multiply
    100.24x = 137.54 × 97.52
  4. Step 4: Simplify right side
    100.24x = 13,412.90
  5. Step 5: Solve for x
    x = 13,412.90/100.24
  6. Step 6: Final answer
    x = 133.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.