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Finding the Fourth Proportional to 61.39, 92.05 and 51.82

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Solution

The fourth proportional to 61.39, 92.05 and 51.82 is: 77.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.39 : 92.05 = 51.82 : x
  2. Step 2: Convert to fraction form
    61.39/92.05 = 51.82/x
  3. Step 3: Cross multiply
    61.39x = 92.05 × 51.82
  4. Step 4: Simplify right side
    61.39x = 4,770.03
  5. Step 5: Solve for x
    x = 4,770.03/61.39
  6. Step 6: Final answer
    x = 77.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.