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Finding the Fourth Proportional to 125.34, 187.92 and 98.34

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Solution

The fourth proportional to 125.34, 187.92 and 98.34 is: 147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.34 : 187.92 = 98.34 : x
  2. Step 2: Convert to fraction form
    125.34/187.92 = 98.34/x
  3. Step 3: Cross multiply
    125.34x = 187.92 × 98.34
  4. Step 4: Simplify right side
    125.34x = 18,480.05
  5. Step 5: Solve for x
    x = 18,480.05/125.34
  6. Step 6: Final answer
    x = 147.44

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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.