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Finding the Fourth Proportional to 82.59, 114.01 and 54.97

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Solution

The fourth proportional to 82.59, 114.01 and 54.97 is: 75.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.59 : 114.01 = 54.97 : x
  2. Step 2: Convert to fraction form
    82.59/114.01 = 54.97/x
  3. Step 3: Cross multiply
    82.59x = 114.01 × 54.97
  4. Step 4: Simplify right side
    82.59x = 6,267.13
  5. Step 5: Solve for x
    x = 6,267.13/82.59
  6. Step 6: Final answer
    x = 75.88

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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.