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Finding the Fourth Proportional to 115.70, 159.60 and 78.82

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Solution

The fourth proportional to 115.70, 159.60 and 78.82 is: 108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.70 : 159.60 = 78.82 : x
  2. Step 2: Convert to fraction form
    115.70/159.60 = 78.82/x
  3. Step 3: Cross multiply
    115.70x = 159.60 × 78.82
  4. Step 4: Simplify right side
    115.70x = 12,579.67
  5. Step 5: Solve for x
    x = 12,579.67/115.70
  6. Step 6: Final answer
    x = 108.73

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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.