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Finding the Fourth Proportional to 159.42, 219.87 and 124.86

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Solution

The fourth proportional to 159.42, 219.87 and 124.86 is: 172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.42 : 219.87 = 124.86 : x
  2. Step 2: Convert to fraction form
    159.42/219.87 = 124.86/x
  3. Step 3: Cross multiply
    159.42x = 219.87 × 124.86
  4. Step 4: Simplify right side
    159.42x = 27,452.97
  5. Step 5: Solve for x
    x = 27,452.97/159.42
  6. Step 6: Final answer
    x = 172.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.