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Finding the Fourth Proportional to 82.53, 114.01 and 61.97

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Solution

The fourth proportional to 82.53, 114.01 and 61.97 is: 85.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.53 : 114.01 = 61.97 : x
  2. Step 2: Convert to fraction form
    82.53/114.01 = 61.97/x
  3. Step 3: Cross multiply
    82.53x = 114.01 × 61.97
  4. Step 4: Simplify right side
    82.53x = 7,064.38
  5. Step 5: Solve for x
    x = 7,064.38/82.53
  6. Step 6: Final answer
    x = 85.60

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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.