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Finding the Fourth Proportional to 99.48, 136.53 and 96.78

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Solution

The fourth proportional to 99.48, 136.53 and 96.78 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.48 : 136.53 = 96.78 : x
  2. Step 2: Convert to fraction form
    99.48/136.53 = 96.78/x
  3. Step 3: Cross multiply
    99.48x = 136.53 × 96.78
  4. Step 4: Simplify right side
    99.48x = 13,213.37
  5. Step 5: Solve for x
    x = 13,213.37/99.48
  6. Step 6: Final answer
    x = 132.82

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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.