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Finding the Fourth Proportional to 82.69, 114.09 and 47.71

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Solution

The fourth proportional to 82.69, 114.09 and 47.71 is: 65.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.69 : 114.09 = 47.71 : x
  2. Step 2: Convert to fraction form
    82.69/114.09 = 47.71/x
  3. Step 3: Cross multiply
    82.69x = 114.09 × 47.71
  4. Step 4: Simplify right side
    82.69x = 5,442.66
  5. Step 5: Solve for x
    x = 5,442.66/82.69
  6. Step 6: Final answer
    x = 65.82

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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.