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Finding the Fourth Proportional to 159.18, 219.70 and 106.72

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Solution

The fourth proportional to 159.18, 219.70 and 106.72 is: 147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.18 : 219.70 = 106.72 : x
  2. Step 2: Convert to fraction form
    159.18/219.70 = 106.72/x
  3. Step 3: Cross multiply
    159.18x = 219.70 × 106.72
  4. Step 4: Simplify right side
    159.18x = 23,446.38
  5. Step 5: Solve for x
    x = 23,446.38/159.18
  6. Step 6: Final answer
    x = 147.29

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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.