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Finding the Fourth Proportional to 159.30, 219.90 and 106.89

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Solution

The fourth proportional to 159.30, 219.90 and 106.89 is: 147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.30 : 219.90 = 106.89 : x
  2. Step 2: Convert to fraction form
    159.30/219.90 = 106.89/x
  3. Step 3: Cross multiply
    159.30x = 219.90 × 106.89
  4. Step 4: Simplify right side
    159.30x = 23,505.11
  5. Step 5: Solve for x
    x = 23,505.11/159.30
  6. Step 6: Final answer
    x = 147.55

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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.