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Finding the Fourth Proportional to 125.04, 187.31 and 97.86

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Solution

The fourth proportional to 125.04, 187.31 and 97.86 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.04 : 187.31 = 97.86 : x
  2. Step 2: Convert to fraction form
    125.04/187.31 = 97.86/x
  3. Step 3: Cross multiply
    125.04x = 187.31 × 97.86
  4. Step 4: Simplify right side
    125.04x = 18,329.44
  5. Step 5: Solve for x
    x = 18,329.44/125.04
  6. Step 6: Final answer
    x = 146.59

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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.