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Finding the Fourth Proportional to 100.30, 137.13 and 96.52

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Solution

The fourth proportional to 100.30, 137.13 and 96.52 is: 131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.30 : 137.13 = 96.52 : x
  2. Step 2: Convert to fraction form
    100.30/137.13 = 96.52/x
  3. Step 3: Cross multiply
    100.30x = 137.13 × 96.52
  4. Step 4: Simplify right side
    100.30x = 13,234.62
  5. Step 5: Solve for x
    x = 13,234.62/100.30
  6. Step 6: Final answer
    x = 131.96

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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.