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Finding the Fourth Proportional to 82.75, 113.85 and 72.32

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Solution

The fourth proportional to 82.75, 113.85 and 72.32 is: 99.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.75 : 113.85 = 72.32 : x
  2. Step 2: Convert to fraction form
    82.75/113.85 = 72.32/x
  3. Step 3: Cross multiply
    82.75x = 113.85 × 72.32
  4. Step 4: Simplify right side
    82.75x = 8,233.63
  5. Step 5: Solve for x
    x = 8,233.63/82.75
  6. Step 6: Final answer
    x = 99.50

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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.