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Finding the Fourth Proportional to 97.75, 146.59 and 54.48

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Solution

The fourth proportional to 97.75, 146.59 and 54.48 is: 81.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.75 : 146.59 = 54.48 : x
  2. Step 2: Convert to fraction form
    97.75/146.59 = 54.48/x
  3. Step 3: Cross multiply
    97.75x = 146.59 × 54.48
  4. Step 4: Simplify right side
    97.75x = 7,985.95
  5. Step 5: Solve for x
    x = 7,985.95/97.75
  6. Step 6: Final answer
    x = 81.70

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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.