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Finding the Fourth Proportional to 159.90, 239.61 and 78.72

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Solution

The fourth proportional to 159.90, 239.61 and 78.72 is: 117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.90 : 239.61 = 78.72 : x
  2. Step 2: Convert to fraction form
    159.90/239.61 = 78.72/x
  3. Step 3: Cross multiply
    159.90x = 239.61 × 78.72
  4. Step 4: Simplify right side
    159.90x = 18,862.10
  5. Step 5: Solve for x
    x = 18,862.10/159.90
  6. Step 6: Final answer
    x = 117.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.