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Finding the Fourth Proportional to 125.28, 173.07 and 97.74

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Solution

The fourth proportional to 125.28, 173.07 and 97.74 is: 135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.28 : 173.07 = 97.74 : x
  2. Step 2: Convert to fraction form
    125.28/173.07 = 97.74/x
  3. Step 3: Cross multiply
    125.28x = 173.07 × 97.74
  4. Step 4: Simplify right side
    125.28x = 16,915.86
  5. Step 5: Solve for x
    x = 16,915.86/125.28
  6. Step 6: Final answer
    x = 135.02

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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.