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Finding the Fourth Proportional to 126.81, 175.01 and 106.05

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Solution

The fourth proportional to 126.81, 175.01 and 106.05 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.81 : 175.01 = 106.05 : x
  2. Step 2: Convert to fraction form
    126.81/175.01 = 106.05/x
  3. Step 3: Cross multiply
    126.81x = 175.01 × 106.05
  4. Step 4: Simplify right side
    126.81x = 18,559.81
  5. Step 5: Solve for x
    x = 18,559.81/126.81
  6. Step 6: Final answer
    x = 146.36

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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.