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Finding the Fourth Proportional to 159.86, 239.82 and 51.66

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Solution

The fourth proportional to 159.86, 239.82 and 51.66 is: 77.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.86 : 239.82 = 51.66 : x
  2. Step 2: Convert to fraction form
    159.86/239.82 = 51.66/x
  3. Step 3: Cross multiply
    159.86x = 239.82 × 51.66
  4. Step 4: Simplify right side
    159.86x = 12,389.10
  5. Step 5: Solve for x
    x = 12,389.10/159.86
  6. Step 6: Final answer
    x = 77.50

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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.