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Finding the Fourth Proportional to 100.13, 149.86 and 96.56

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Solution

The fourth proportional to 100.13, 149.86 and 96.56 is: 144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.13 : 149.86 = 96.56 : x
  2. Step 2: Convert to fraction form
    100.13/149.86 = 96.56/x
  3. Step 3: Cross multiply
    100.13x = 149.86 × 96.56
  4. Step 4: Simplify right side
    100.13x = 14,470.48
  5. Step 5: Solve for x
    x = 14,470.48/100.13
  6. Step 6: Final answer
    x = 144.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.