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Finding the Fourth Proportional to 61.78, 92.23 and 51.66

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Solution

The fourth proportional to 61.78, 92.23 and 51.66 is: 77.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.78 : 92.23 = 51.66 : x
  2. Step 2: Convert to fraction form
    61.78/92.23 = 51.66/x
  3. Step 3: Cross multiply
    61.78x = 92.23 × 51.66
  4. Step 4: Simplify right side
    61.78x = 4,764.60
  5. Step 5: Solve for x
    x = 4,764.60/61.78
  6. Step 6: Final answer
    x = 77.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.