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Finding the Fourth Proportional to 159.70, 239.42 and 78.50

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Solution

The fourth proportional to 159.70, 239.42 and 78.50 is: 117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.70 : 239.42 = 78.50 : x
  2. Step 2: Convert to fraction form
    159.70/239.42 = 78.50/x
  3. Step 3: Cross multiply
    159.70x = 239.42 × 78.50
  4. Step 4: Simplify right side
    159.70x = 18,792.88
  5. Step 5: Solve for x
    x = 18,792.88/159.70
  6. Step 6: Final answer
    x = 117.68

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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.