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Finding the Fourth Proportional to 82.45, 113.78 and 59.14

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Solution

The fourth proportional to 82.45, 113.78 and 59.14 is: 81.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.45 : 113.78 = 59.14 : x
  2. Step 2: Convert to fraction form
    82.45/113.78 = 59.14/x
  3. Step 3: Cross multiply
    82.45x = 113.78 × 59.14
  4. Step 4: Simplify right side
    82.45x = 6,728.81
  5. Step 5: Solve for x
    x = 6,728.81/82.45
  6. Step 6: Final answer
    x = 81.61

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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.