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Finding the Fourth Proportional to 79.53, 108.88 and 76.80

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Solution

The fourth proportional to 79.53, 108.88 and 76.80 is: 105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.53 : 108.88 = 76.80 : x
  2. Step 2: Convert to fraction form
    79.53/108.88 = 76.80/x
  3. Step 3: Cross multiply
    79.53x = 108.88 × 76.80
  4. Step 4: Simplify right side
    79.53x = 8,361.98
  5. Step 5: Solve for x
    x = 8,361.98/79.53
  6. Step 6: Final answer
    x = 105.14

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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.