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Finding the Fourth Proportional to 97.75, 134.89 and 53.49

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Solution

The fourth proportional to 97.75, 134.89 and 53.49 is: 73.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.75 : 134.89 = 53.49 : x
  2. Step 2: Convert to fraction form
    97.75/134.89 = 53.49/x
  3. Step 3: Cross multiply
    97.75x = 134.89 × 53.49
  4. Step 4: Simplify right side
    97.75x = 7,215.25
  5. Step 5: Solve for x
    x = 7,215.25/97.75
  6. Step 6: Final answer
    x = 73.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.