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Finding the Fourth Proportional to 61.44, 92.06 and 51.76

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Solution

The fourth proportional to 61.44, 92.06 and 51.76 is: 77.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.44 : 92.06 = 51.76 : x
  2. Step 2: Convert to fraction form
    61.44/92.06 = 51.76/x
  3. Step 3: Cross multiply
    61.44x = 92.06 × 51.76
  4. Step 4: Simplify right side
    61.44x = 4,765.03
  5. Step 5: Solve for x
    x = 4,765.03/61.44
  6. Step 6: Final answer
    x = 77.56

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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.