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Finding the Fourth Proportional to 82.52, 113.64 and 74.78

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Solution

The fourth proportional to 82.52, 113.64 and 74.78 is: 102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.52 : 113.64 = 74.78 : x
  2. Step 2: Convert to fraction form
    82.52/113.64 = 74.78/x
  3. Step 3: Cross multiply
    82.52x = 113.64 × 74.78
  4. Step 4: Simplify right side
    82.52x = 8,498.00
  5. Step 5: Solve for x
    x = 8,498.00/82.52
  6. Step 6: Final answer
    x = 102.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.