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Finding the Fourth Proportional to 61.97, 92.95 and 51.80

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Solution

The fourth proportional to 61.97, 92.95 and 51.80 is: 77.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.97 : 92.95 = 51.80 : x
  2. Step 2: Convert to fraction form
    61.97/92.95 = 51.80/x
  3. Step 3: Cross multiply
    61.97x = 92.95 × 51.80
  4. Step 4: Simplify right side
    61.97x = 4,814.35
  5. Step 5: Solve for x
    x = 4,814.35/61.97
  6. Step 6: Final answer
    x = 77.69

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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.