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Finding the Fourth Proportional to 82.85, 124.33 and 31.54

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Solution

The fourth proportional to 82.85, 124.33 and 31.54 is: 47.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.85 : 124.33 = 31.54 : x
  2. Step 2: Convert to fraction form
    82.85/124.33 = 31.54/x
  3. Step 3: Cross multiply
    82.85x = 124.33 × 31.54
  4. Step 4: Simplify right side
    82.85x = 3,921.38
  5. Step 5: Solve for x
    x = 3,921.38/82.85
  6. Step 6: Final answer
    x = 47.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.