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Finding the Fourth Proportional to 61.26, 84.38 and 52.04

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Solution

The fourth proportional to 61.26, 84.38 and 52.04 is: 71.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.26 : 84.38 = 52.04 : x
  2. Step 2: Convert to fraction form
    61.26/84.38 = 52.04/x
  3. Step 3: Cross multiply
    61.26x = 84.38 × 52.04
  4. Step 4: Simplify right side
    61.26x = 4,391.09
  5. Step 5: Solve for x
    x = 4,391.09/61.26
  6. Step 6: Final answer
    x = 71.68

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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.