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Finding the Fourth Proportional to 115.83, 159.85 and 63.38

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Solution

The fourth proportional to 115.83, 159.85 and 63.38 is: 87.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.83 : 159.85 = 63.38 : x
  2. Step 2: Convert to fraction form
    115.83/159.85 = 63.38/x
  3. Step 3: Cross multiply
    115.83x = 159.85 × 63.38
  4. Step 4: Simplify right side
    115.83x = 10,130.88
  5. Step 5: Solve for x
    x = 10,130.88/115.83
  6. Step 6: Final answer
    x = 87.46

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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.