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Finding the Fourth Proportional to 114.98, 158.69 and 82.31

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Solution

The fourth proportional to 114.98, 158.69 and 82.31 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.98 : 158.69 = 82.31 : x
  2. Step 2: Convert to fraction form
    114.98/158.69 = 82.31/x
  3. Step 3: Cross multiply
    114.98x = 158.69 × 82.31
  4. Step 4: Simplify right side
    114.98x = 13,060.57
  5. Step 5: Solve for x
    x = 13,060.57/114.98
  6. Step 6: Final answer
    x = 113.59

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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.