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Finding the Fourth Proportional to 126.25, 188.96 and 74.76

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Solution

The fourth proportional to 126.25, 188.96 and 74.76 is: 111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.25 : 188.96 = 74.76 : x
  2. Step 2: Convert to fraction form
    126.25/188.96 = 74.76/x
  3. Step 3: Cross multiply
    126.25x = 188.96 × 74.76
  4. Step 4: Simplify right side
    126.25x = 14,126.65
  5. Step 5: Solve for x
    x = 14,126.65/126.25
  6. Step 6: Final answer
    x = 111.89

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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.