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Finding the Fourth Proportional to 159.13, 219.35 and 112.43

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Solution

The fourth proportional to 159.13, 219.35 and 112.43 is: 154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.13 : 219.35 = 112.43 : x
  2. Step 2: Convert to fraction form
    159.13/219.35 = 112.43/x
  3. Step 3: Cross multiply
    159.13x = 219.35 × 112.43
  4. Step 4: Simplify right side
    159.13x = 24,660.02
  5. Step 5: Solve for x
    x = 24,660.02/159.13
  6. Step 6: Final answer
    x = 154.97

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Why These Related Problems?

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