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Finding the Fourth Proportional to 159.31, 238.95 and 49.62

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Solution

The fourth proportional to 159.31, 238.95 and 49.62 is: 74.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.31 : 238.95 = 49.62 : x
  2. Step 2: Convert to fraction form
    159.31/238.95 = 49.62/x
  3. Step 3: Cross multiply
    159.31x = 238.95 × 49.62
  4. Step 4: Simplify right side
    159.31x = 11,856.70
  5. Step 5: Solve for x
    x = 11,856.70/159.31
  6. Step 6: Final answer
    x = 74.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.