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Finding the Fourth Proportional to 97.72, 146.26 and 83.95

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Solution

The fourth proportional to 97.72, 146.26 and 83.95 is: 125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.72 : 146.26 = 83.95 : x
  2. Step 2: Convert to fraction form
    97.72/146.26 = 83.95/x
  3. Step 3: Cross multiply
    97.72x = 146.26 × 83.95
  4. Step 4: Simplify right side
    97.72x = 12,278.53
  5. Step 5: Solve for x
    x = 12,278.53/97.72
  6. Step 6: Final answer
    x = 125.65

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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.