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Finding the Fourth Proportional to 126.62, 189.66 and 106.10

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Solution

The fourth proportional to 126.62, 189.66 and 106.10 is: 158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.62 : 189.66 = 106.10 : x
  2. Step 2: Convert to fraction form
    126.62/189.66 = 106.10/x
  3. Step 3: Cross multiply
    126.62x = 189.66 × 106.10
  4. Step 4: Simplify right side
    126.62x = 20,122.93
  5. Step 5: Solve for x
    x = 20,122.93/126.62
  6. Step 6: Final answer
    x = 158.92

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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.