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Finding the Fourth Proportional to 60, 82.82 and 34.14

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Solution

The fourth proportional to 60, 82.82 and 34.14 is: 47.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60 : 82.82 = 34.14 : x
  2. Step 2: Convert to fraction form
    60/82.82 = 34.14/x
  3. Step 3: Cross multiply
    60x = 82.82 × 34.14
  4. Step 4: Simplify right side
    60x = 2,827.30
  5. Step 5: Solve for x
    x = 2,827.30/60
  6. Step 6: Final answer
    x = 47.12

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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.