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Finding the Fourth Proportional to 82.50, 113.87 and 48.02

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Solution

The fourth proportional to 82.50, 113.87 and 48.02 is: 66.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 113.87 = 48.02 : x
  2. Step 2: Convert to fraction form
    82.50/113.87 = 48.02/x
  3. Step 3: Cross multiply
    82.50x = 113.87 × 48.02
  4. Step 4: Simplify right side
    82.50x = 5,468.04
  5. Step 5: Solve for x
    x = 5,468.04/82.50
  6. Step 6: Final answer
    x = 66.28

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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.