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Finding the Fourth Proportional to 82.71, 123.33 and 76.64

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Solution

The fourth proportional to 82.71, 123.33 and 76.64 is: 114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.71 : 123.33 = 76.64 : x
  2. Step 2: Convert to fraction form
    82.71/123.33 = 76.64/x
  3. Step 3: Cross multiply
    82.71x = 123.33 × 76.64
  4. Step 4: Simplify right side
    82.71x = 9,451.39
  5. Step 5: Solve for x
    x = 9,451.39/82.71
  6. Step 6: Final answer
    x = 114.27

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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.