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Finding the Fourth Proportional to 115.63, 159.30 and 82.82

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Solution

The fourth proportional to 115.63, 159.30 and 82.82 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.63 : 159.30 = 82.82 : x
  2. Step 2: Convert to fraction form
    115.63/159.30 = 82.82/x
  3. Step 3: Cross multiply
    115.63x = 159.30 × 82.82
  4. Step 4: Simplify right side
    115.63x = 13,193.62
  5. Step 5: Solve for x
    x = 13,193.62/115.63
  6. Step 6: Final answer
    x = 114.10

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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.