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Finding the Fourth Proportional to 159.23, 239.00 and 124.61

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Solution

The fourth proportional to 159.23, 239.00 and 124.61 is: 187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.23 : 239.00 = 124.61 : x
  2. Step 2: Convert to fraction form
    159.23/239.00 = 124.61/x
  3. Step 3: Cross multiply
    159.23x = 239.00 × 124.61
  4. Step 4: Simplify right side
    159.23x = 29,779.97
  5. Step 5: Solve for x
    x = 29,779.97/159.23
  6. Step 6: Final answer
    x = 187.03

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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.