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Finding the Fourth Proportional to 82.69, 124.02 and 31.32

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Solution

The fourth proportional to 82.69, 124.02 and 31.32 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.69 : 124.02 = 31.32 : x
  2. Step 2: Convert to fraction form
    82.69/124.02 = 31.32/x
  3. Step 3: Cross multiply
    82.69x = 124.02 × 31.32
  4. Step 4: Simplify right side
    82.69x = 3,884.24
  5. Step 5: Solve for x
    x = 3,884.24/82.69
  6. Step 6: Final answer
    x = 46.97

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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.