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Finding the Fourth Proportional to 82.55, 123.22 and 76.07

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Solution

The fourth proportional to 82.55, 123.22 and 76.07 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.55 : 123.22 = 76.07 : x
  2. Step 2: Convert to fraction form
    82.55/123.22 = 76.07/x
  3. Step 3: Cross multiply
    82.55x = 123.22 × 76.07
  4. Step 4: Simplify right side
    82.55x = 9,373.75
  5. Step 5: Solve for x
    x = 9,373.75/82.55
  6. Step 6: Final answer
    x = 113.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.