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Finding the Fourth Proportional to 126.67, 174.87 and 114.22

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Solution

The fourth proportional to 126.67, 174.87 and 114.22 is: 157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.67 : 174.87 = 114.22 : x
  2. Step 2: Convert to fraction form
    126.67/174.87 = 114.22/x
  3. Step 3: Cross multiply
    126.67x = 174.87 × 114.22
  4. Step 4: Simplify right side
    126.67x = 19,973.65
  5. Step 5: Solve for x
    x = 19,973.65/126.67
  6. Step 6: Final answer
    x = 157.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.