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Finding the Fourth Proportional to 125.86, 188.84 and 44.71

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Solution

The fourth proportional to 125.86, 188.84 and 44.71 is: 67.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.86 : 188.84 = 44.71 : x
  2. Step 2: Convert to fraction form
    125.86/188.84 = 44.71/x
  3. Step 3: Cross multiply
    125.86x = 188.84 × 44.71
  4. Step 4: Simplify right side
    125.86x = 8,441.87
  5. Step 5: Solve for x
    x = 8,441.87/125.86
  6. Step 6: Final answer
    x = 67.08

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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.