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Finding the Fourth Proportional to 72.80, 108.82 and 63.92

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Solution

The fourth proportional to 72.80, 108.82 and 63.92 is: 95.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.80 : 108.82 = 63.92 : x
  2. Step 2: Convert to fraction form
    72.80/108.82 = 63.92/x
  3. Step 3: Cross multiply
    72.80x = 108.82 × 63.92
  4. Step 4: Simplify right side
    72.80x = 6,955.77
  5. Step 5: Solve for x
    x = 6,955.77/72.80
  6. Step 6: Final answer
    x = 95.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.