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Finding the Fourth Proportional to 125.75, 188.67 and 43.50

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Solution

The fourth proportional to 125.75, 188.67 and 43.50 is: 65.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.75 : 188.67 = 43.50 : x
  2. Step 2: Convert to fraction form
    125.75/188.67 = 43.50/x
  3. Step 3: Cross multiply
    125.75x = 188.67 × 43.50
  4. Step 4: Simplify right side
    125.75x = 8,207.15
  5. Step 5: Solve for x
    x = 8,207.15/125.75
  6. Step 6: Final answer
    x = 65.26

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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.