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Finding the Fourth Proportional to 126.49, 188.74 and 118.75

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Solution

The fourth proportional to 126.49, 188.74 and 118.75 is: 177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.49 : 188.74 = 118.75 : x
  2. Step 2: Convert to fraction form
    126.49/188.74 = 118.75/x
  3. Step 3: Cross multiply
    126.49x = 188.74 × 118.75
  4. Step 4: Simplify right side
    126.49x = 22,412.79
  5. Step 5: Solve for x
    x = 22,412.79/126.49
  6. Step 6: Final answer
    x = 177.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.