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Finding the Fourth Proportional to 82.32, 113.70 and 57.84

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Solution

The fourth proportional to 82.32, 113.70 and 57.84 is: 79.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.32 : 113.70 = 57.84 : x
  2. Step 2: Convert to fraction form
    82.32/113.70 = 57.84/x
  3. Step 3: Cross multiply
    82.32x = 113.70 × 57.84
  4. Step 4: Simplify right side
    82.32x = 6,576.41
  5. Step 5: Solve for x
    x = 6,576.41/82.32
  6. Step 6: Final answer
    x = 79.89

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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.