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Finding the Fourth Proportional to 115.50, 159.39 and 76.70

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Solution

The fourth proportional to 115.50, 159.39 and 76.70 is: 105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.50 : 159.39 = 76.70 : x
  2. Step 2: Convert to fraction form
    115.50/159.39 = 76.70/x
  3. Step 3: Cross multiply
    115.50x = 159.39 × 76.70
  4. Step 4: Simplify right side
    115.50x = 12,224.42
  5. Step 5: Solve for x
    x = 12,224.42/115.50
  6. Step 6: Final answer
    x = 105.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.