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Finding the Fourth Proportional to 82.02, 113 and 63.54

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Solution

The fourth proportional to 82.02, 113 and 63.54 is: 87.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.02 : 113 = 63.54 : x
  2. Step 2: Convert to fraction form
    82.02/113 = 63.54/x
  3. Step 3: Cross multiply
    82.02x = 113 × 63.54
  4. Step 4: Simplify right side
    82.02x = 7,180.02
  5. Step 5: Solve for x
    x = 7,180.02/82.02
  6. Step 6: Final answer
    x = 87.54

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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.