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Finding the Fourth Proportional to 82.47, 123.74 and 75.66

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Solution

The fourth proportional to 82.47, 123.74 and 75.66 is: 113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.47 : 123.74 = 75.66 : x
  2. Step 2: Convert to fraction form
    82.47/123.74 = 75.66/x
  3. Step 3: Cross multiply
    82.47x = 123.74 × 75.66
  4. Step 4: Simplify right side
    82.47x = 9,362.17
  5. Step 5: Solve for x
    x = 9,362.17/82.47
  6. Step 6: Final answer
    x = 113.52

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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.