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Finding the Fourth Proportional to 159.86, 239.35 and 82.66

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Solution

The fourth proportional to 159.86, 239.35 and 82.66 is: 123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.86 : 239.35 = 82.66 : x
  2. Step 2: Convert to fraction form
    159.86/239.35 = 82.66/x
  3. Step 3: Cross multiply
    159.86x = 239.35 × 82.66
  4. Step 4: Simplify right side
    159.86x = 19,784.67
  5. Step 5: Solve for x
    x = 19,784.67/159.86
  6. Step 6: Final answer
    x = 123.76

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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.