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Finding the Fourth Proportional to 82.70, 123.98 and 31.30

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Solution

The fourth proportional to 82.70, 123.98 and 31.30 is: 46.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.70 : 123.98 = 31.30 : x
  2. Step 2: Convert to fraction form
    82.70/123.98 = 31.30/x
  3. Step 3: Cross multiply
    82.70x = 123.98 × 31.30
  4. Step 4: Simplify right side
    82.70x = 3,880.57
  5. Step 5: Solve for x
    x = 3,880.57/82.70
  6. Step 6: Final answer
    x = 46.92

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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.