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Finding the Fourth Proportional to 126.14, 189.18 and 45

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Solution

The fourth proportional to 126.14, 189.18 and 45 is: 67.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.14 : 189.18 = 45 : x
  2. Step 2: Convert to fraction form
    126.14/189.18 = 45/x
  3. Step 3: Cross multiply
    126.14x = 189.18 × 45
  4. Step 4: Simplify right side
    126.14x = 8,513.10
  5. Step 5: Solve for x
    x = 8,513.10/126.14
  6. Step 6: Final answer
    x = 67.49

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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.