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Finding the Fourth Proportional to 82.35, 113.59 and 49.14

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Solution

The fourth proportional to 82.35, 113.59 and 49.14 is: 67.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.35 : 113.59 = 49.14 : x
  2. Step 2: Convert to fraction form
    82.35/113.59 = 49.14/x
  3. Step 3: Cross multiply
    82.35x = 113.59 × 49.14
  4. Step 4: Simplify right side
    82.35x = 5,581.24
  5. Step 5: Solve for x
    x = 5,581.24/82.35
  6. Step 6: Final answer
    x = 67.78

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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.