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Finding the Fourth Proportional to 159.85, 220.34 and 113.27

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Solution

The fourth proportional to 159.85, 220.34 and 113.27 is: 156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.85 : 220.34 = 113.27 : x
  2. Step 2: Convert to fraction form
    159.85/220.34 = 113.27/x
  3. Step 3: Cross multiply
    159.85x = 220.34 × 113.27
  4. Step 4: Simplify right side
    159.85x = 24,957.91
  5. Step 5: Solve for x
    x = 24,957.91/159.85
  6. Step 6: Final answer
    x = 156.13

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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.