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Finding the Fourth Proportional to 125.43, 173.40 and 97.78

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Solution

The fourth proportional to 125.43, 173.40 and 97.78 is: 135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.43 : 173.40 = 97.78 : x
  2. Step 2: Convert to fraction form
    125.43/173.40 = 97.78/x
  3. Step 3: Cross multiply
    125.43x = 173.40 × 97.78
  4. Step 4: Simplify right side
    125.43x = 16,955.05
  5. Step 5: Solve for x
    x = 16,955.05/125.43
  6. Step 6: Final answer
    x = 135.18

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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.