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Finding the Fourth Proportional to 61.62, 85.20 and 51.26

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Solution

The fourth proportional to 61.62, 85.20 and 51.26 is: 70.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.62 : 85.20 = 51.26 : x
  2. Step 2: Convert to fraction form
    61.62/85.20 = 51.26/x
  3. Step 3: Cross multiply
    61.62x = 85.20 × 51.26
  4. Step 4: Simplify right side
    61.62x = 4,367.26
  5. Step 5: Solve for x
    x = 4,367.26/61.62
  6. Step 6: Final answer
    x = 70.87

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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.