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Finding the Fourth Proportional to 159.71, 220.40 and 89.78

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Solution

The fourth proportional to 159.71, 220.40 and 89.78 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.71 : 220.40 = 89.78 : x
  2. Step 2: Convert to fraction form
    159.71/220.40 = 89.78/x
  3. Step 3: Cross multiply
    159.71x = 220.40 × 89.78
  4. Step 4: Simplify right side
    159.71x = 19,787.51
  5. Step 5: Solve for x
    x = 19,787.51/159.71
  6. Step 6: Final answer
    x = 123.90

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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.