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Finding the Fourth Proportional to 62.12, 85.72 and 34.11

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Solution

The fourth proportional to 62.12, 85.72 and 34.11 is: 47.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.12 : 85.72 = 34.11 : x
  2. Step 2: Convert to fraction form
    62.12/85.72 = 34.11/x
  3. Step 3: Cross multiply
    62.12x = 85.72 × 34.11
  4. Step 4: Simplify right side
    62.12x = 2,923.91
  5. Step 5: Solve for x
    x = 2,923.91/62.12
  6. Step 6: Final answer
    x = 47.07

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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.