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Finding the Fourth Proportional to 159.57, 220.20 and 89.64

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Solution

The fourth proportional to 159.57, 220.20 and 89.64 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.57 : 220.20 = 89.64 : x
  2. Step 2: Convert to fraction form
    159.57/220.20 = 89.64/x
  3. Step 3: Cross multiply
    159.57x = 220.20 × 89.64
  4. Step 4: Simplify right side
    159.57x = 19,738.73
  5. Step 5: Solve for x
    x = 19,738.73/159.57
  6. Step 6: Final answer
    x = 123.70

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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.