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Finding the Fourth Proportional to 61.75, 92.50 and 51.57

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Solution

The fourth proportional to 61.75, 92.50 and 51.57 is: 77.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.75 : 92.50 = 51.57 : x
  2. Step 2: Convert to fraction form
    61.75/92.50 = 51.57/x
  3. Step 3: Cross multiply
    61.75x = 92.50 × 51.57
  4. Step 4: Simplify right side
    61.75x = 4,770.46
  5. Step 5: Solve for x
    x = 4,770.46/61.75
  6. Step 6: Final answer
    x = 77.25

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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.