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Finding the Fourth Proportional to 83.42, 124.98 and 42.74

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Solution

The fourth proportional to 83.42, 124.98 and 42.74 is: 64.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.42 : 124.98 = 42.74 : x
  2. Step 2: Convert to fraction form
    83.42/124.98 = 42.74/x
  3. Step 3: Cross multiply
    83.42x = 124.98 × 42.74
  4. Step 4: Simplify right side
    83.42x = 5,341.65
  5. Step 5: Solve for x
    x = 5,341.65/83.42
  6. Step 6: Final answer
    x = 64.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.