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Finding the Fourth Proportional to 159.85, 239.82 and 51.64

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Solution

The fourth proportional to 159.85, 239.82 and 51.64 is: 77.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.85 : 239.82 = 51.64 : x
  2. Step 2: Convert to fraction form
    159.85/239.82 = 51.64/x
  3. Step 3: Cross multiply
    159.85x = 239.82 × 51.64
  4. Step 4: Simplify right side
    159.85x = 12,384.30
  5. Step 5: Solve for x
    x = 12,384.30/159.85
  6. Step 6: Final answer
    x = 77.47

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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.