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Finding the Fourth Proportional to 61.62, 85.02 and 38.30

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Solution

The fourth proportional to 61.62, 85.02 and 38.30 is: 52.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.62 : 85.02 = 38.30 : x
  2. Step 2: Convert to fraction form
    61.62/85.02 = 38.30/x
  3. Step 3: Cross multiply
    61.62x = 85.02 × 38.30
  4. Step 4: Simplify right side
    61.62x = 3,256.27
  5. Step 5: Solve for x
    x = 3,256.27/61.62
  6. Step 6: Final answer
    x = 52.84

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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.