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Finding the Fourth Proportional to 126.47, 189.65 and 57.06

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Solution

The fourth proportional to 126.47, 189.65 and 57.06 is: 85.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.47 : 189.65 = 57.06 : x
  2. Step 2: Convert to fraction form
    126.47/189.65 = 57.06/x
  3. Step 3: Cross multiply
    126.47x = 189.65 × 57.06
  4. Step 4: Simplify right side
    126.47x = 10,821.57
  5. Step 5: Solve for x
    x = 10,821.57/126.47
  6. Step 6: Final answer
    x = 85.56

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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.