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Finding the Fourth Proportional to 80.71, 120.36 and 75.58

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Solution

The fourth proportional to 80.71, 120.36 and 75.58 is: 112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.71 : 120.36 = 75.58 : x
  2. Step 2: Convert to fraction form
    80.71/120.36 = 75.58/x
  3. Step 3: Cross multiply
    80.71x = 120.36 × 75.58
  4. Step 4: Simplify right side
    80.71x = 9,096.81
  5. Step 5: Solve for x
    x = 9,096.81/80.71
  6. Step 6: Final answer
    x = 112.71

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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.