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Finding the Fourth Proportional to 82.02, 113.19 and 52.53

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Solution

The fourth proportional to 82.02, 113.19 and 52.53 is: 72.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.02 : 113.19 = 52.53 : x
  2. Step 2: Convert to fraction form
    82.02/113.19 = 52.53/x
  3. Step 3: Cross multiply
    82.02x = 113.19 × 52.53
  4. Step 4: Simplify right side
    82.02x = 5,945.87
  5. Step 5: Solve for x
    x = 5,945.87/82.02
  6. Step 6: Final answer
    x = 72.49

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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.