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Finding the Fourth Proportional to 159.62, 220.07 and 112.95

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Solution

The fourth proportional to 159.62, 220.07 and 112.95 is: 155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.62 : 220.07 = 112.95 : x
  2. Step 2: Convert to fraction form
    159.62/220.07 = 112.95/x
  3. Step 3: Cross multiply
    159.62x = 220.07 × 112.95
  4. Step 4: Simplify right side
    159.62x = 24,855.52
  5. Step 5: Solve for x
    x = 24,855.52/159.62
  6. Step 6: Final answer
    x = 155.71

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