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Finding the Fourth Proportional to 82.16, 123.24 and 76.22

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Solution

The fourth proportional to 82.16, 123.24 and 76.22 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 123.24 = 76.22 : x
  2. Step 2: Convert to fraction form
    82.16/123.24 = 76.22/x
  3. Step 3: Cross multiply
    82.16x = 123.24 × 76.22
  4. Step 4: Simplify right side
    82.16x = 9,393.35
  5. Step 5: Solve for x
    x = 9,393.35/82.16
  6. Step 6: Final answer
    x = 114.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.