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Finding the Fourth Proportional to 126.10, 189.14 and 45.04

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Solution

The fourth proportional to 126.10, 189.14 and 45.04 is: 67.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.10 : 189.14 = 45.04 : x
  2. Step 2: Convert to fraction form
    126.10/189.14 = 45.04/x
  3. Step 3: Cross multiply
    126.10x = 189.14 × 45.04
  4. Step 4: Simplify right side
    126.10x = 8,518.87
  5. Step 5: Solve for x
    x = 8,518.87/126.10
  6. Step 6: Final answer
    x = 67.56

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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.