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Finding the Fourth Proportional to 79.76, 110.56 and 75.32

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Solution

The fourth proportional to 79.76, 110.56 and 75.32 is: 104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.76 : 110.56 = 75.32 : x
  2. Step 2: Convert to fraction form
    79.76/110.56 = 75.32/x
  3. Step 3: Cross multiply
    79.76x = 110.56 × 75.32
  4. Step 4: Simplify right side
    79.76x = 8,327.38
  5. Step 5: Solve for x
    x = 8,327.38/79.76
  6. Step 6: Final answer
    x = 104.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.