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Finding the Fourth Proportional to 73.12, 108.86 and 72.76

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Solution

The fourth proportional to 73.12, 108.86 and 72.76 is: 108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.12 : 108.86 = 72.76 : x
  2. Step 2: Convert to fraction form
    73.12/108.86 = 72.76/x
  3. Step 3: Cross multiply
    73.12x = 108.86 × 72.76
  4. Step 4: Simplify right side
    73.12x = 7,920.65
  5. Step 5: Solve for x
    x = 7,920.65/73.12
  6. Step 6: Final answer
    x = 108.32

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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.