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Finding the Fourth Proportional to 134.47, 185.58 and 82.02

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Solution

The fourth proportional to 134.47, 185.58 and 82.02 is: 113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.47 : 185.58 = 82.02 : x
  2. Step 2: Convert to fraction form
    134.47/185.58 = 82.02/x
  3. Step 3: Cross multiply
    134.47x = 185.58 × 82.02
  4. Step 4: Simplify right side
    134.47x = 15,221.27
  5. Step 5: Solve for x
    x = 15,221.27/134.47
  6. Step 6: Final answer
    x = 113.20

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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.