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Finding the Fourth Proportional to 159.10, 219.65 and 106.72

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Solution

The fourth proportional to 159.10, 219.65 and 106.72 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.10 : 219.65 = 106.72 : x
  2. Step 2: Convert to fraction form
    159.10/219.65 = 106.72/x
  3. Step 3: Cross multiply
    159.10x = 219.65 × 106.72
  4. Step 4: Simplify right side
    159.10x = 23,441.05
  5. Step 5: Solve for x
    x = 23,441.05/159.10
  6. Step 6: Final answer
    x = 147.34

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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.