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Finding the Fourth Proportional to 82.49, 113.76 and 70.88

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Solution

The fourth proportional to 82.49, 113.76 and 70.88 is: 97.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.49 : 113.76 = 70.88 : x
  2. Step 2: Convert to fraction form
    82.49/113.76 = 70.88/x
  3. Step 3: Cross multiply
    82.49x = 113.76 × 70.88
  4. Step 4: Simplify right side
    82.49x = 8,062.74
  5. Step 5: Solve for x
    x = 8,062.74/82.49
  6. Step 6: Final answer
    x = 97.75

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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.