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Finding the Fourth Proportional to 115.82, 159.76 and 76.49

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Solution

The fourth proportional to 115.82, 159.76 and 76.49 is: 105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.82 : 159.76 = 76.49 : x
  2. Step 2: Convert to fraction form
    115.82/159.76 = 76.49/x
  3. Step 3: Cross multiply
    115.82x = 159.76 × 76.49
  4. Step 4: Simplify right side
    115.82x = 12,220.04
  5. Step 5: Solve for x
    x = 12,220.04/115.82
  6. Step 6: Final answer
    x = 105.51

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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.