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Finding the Fourth Proportional to 62.21, 85.84 and 34.57

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Solution

The fourth proportional to 62.21, 85.84 and 34.57 is: 47.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.21 : 85.84 = 34.57 : x
  2. Step 2: Convert to fraction form
    62.21/85.84 = 34.57/x
  3. Step 3: Cross multiply
    62.21x = 85.84 × 34.57
  4. Step 4: Simplify right side
    62.21x = 2,967.49
  5. Step 5: Solve for x
    x = 2,967.49/62.21
  6. Step 6: Final answer
    x = 47.70

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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.