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Finding the Fourth Proportional to 97.75, 134.90 and 60.93

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Solution

The fourth proportional to 97.75, 134.90 and 60.93 is: 84.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.75 : 134.90 = 60.93 : x
  2. Step 2: Convert to fraction form
    97.75/134.90 = 60.93/x
  3. Step 3: Cross multiply
    97.75x = 134.90 × 60.93
  4. Step 4: Simplify right side
    97.75x = 8,219.46
  5. Step 5: Solve for x
    x = 8,219.46/97.75
  6. Step 6: Final answer
    x = 84.09

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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.