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Finding the Fourth Proportional to 159.87, 220.61 and 89.92

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Solution

The fourth proportional to 159.87, 220.61 and 89.92 is: 124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.87 : 220.61 = 89.92 : x
  2. Step 2: Convert to fraction form
    159.87/220.61 = 89.92/x
  3. Step 3: Cross multiply
    159.87x = 220.61 × 89.92
  4. Step 4: Simplify right side
    159.87x = 19,837.75
  5. Step 5: Solve for x
    x = 19,837.75/159.87
  6. Step 6: Final answer
    x = 124.08

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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.