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Finding the Fourth Proportional to 159.68, 239.13 and 110.80

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Solution

The fourth proportional to 159.68, 239.13 and 110.80 is: 165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.68 : 239.13 = 110.80 : x
  2. Step 2: Convert to fraction form
    159.68/239.13 = 110.80/x
  3. Step 3: Cross multiply
    159.68x = 239.13 × 110.80
  4. Step 4: Simplify right side
    159.68x = 26,495.60
  5. Step 5: Solve for x
    x = 26,495.60/159.68
  6. Step 6: Final answer
    x = 165.93

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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.