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Finding the Fourth Proportional to 159.64, 239.14 and 110.84

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Solution

The fourth proportional to 159.64, 239.14 and 110.84 is: 166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.64 : 239.14 = 110.84 : x
  2. Step 2: Convert to fraction form
    159.64/239.14 = 110.84/x
  3. Step 3: Cross multiply
    159.64x = 239.14 × 110.84
  4. Step 4: Simplify right side
    159.64x = 26,506.28
  5. Step 5: Solve for x
    x = 26,506.28/159.64
  6. Step 6: Final answer
    x = 166.04

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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.