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Finding the Fourth Proportional to 97.48, 146.15 and 51.85

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Solution

The fourth proportional to 97.48, 146.15 and 51.85 is: 77.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.48 : 146.15 = 51.85 : x
  2. Step 2: Convert to fraction form
    97.48/146.15 = 51.85/x
  3. Step 3: Cross multiply
    97.48x = 146.15 × 51.85
  4. Step 4: Simplify right side
    97.48x = 7,577.88
  5. Step 5: Solve for x
    x = 7,577.88/97.48
  6. Step 6: Final answer
    x = 77.74

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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.