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Finding the Fourth Proportional to 159.32, 219.90 and 101.18

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Solution

The fourth proportional to 159.32, 219.90 and 101.18 is: 139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.32 : 219.90 = 101.18 : x
  2. Step 2: Convert to fraction form
    159.32/219.90 = 101.18/x
  3. Step 3: Cross multiply
    159.32x = 219.90 × 101.18
  4. Step 4: Simplify right side
    159.32x = 22,249.48
  5. Step 5: Solve for x
    x = 22,249.48/159.32
  6. Step 6: Final answer
    x = 139.65

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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.