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Finding the Fourth Proportional to 82.16, 123.44 and 76.24

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Solution

The fourth proportional to 82.16, 123.44 and 76.24 is: 114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 123.44 = 76.24 : x
  2. Step 2: Convert to fraction form
    82.16/123.44 = 76.24/x
  3. Step 3: Cross multiply
    82.16x = 123.44 × 76.24
  4. Step 4: Simplify right side
    82.16x = 9,411.07
  5. Step 5: Solve for x
    x = 9,411.07/82.16
  6. Step 6: Final answer
    x = 114.55

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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.