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Finding the Fourth Proportional to 126.16, 189.31 and 54.02

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Solution

The fourth proportional to 126.16, 189.31 and 54.02 is: 81.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.16 : 189.31 = 54.02 : x
  2. Step 2: Convert to fraction form
    126.16/189.31 = 54.02/x
  3. Step 3: Cross multiply
    126.16x = 189.31 × 54.02
  4. Step 4: Simplify right side
    126.16x = 10,226.53
  5. Step 5: Solve for x
    x = 10,226.53/126.16
  6. Step 6: Final answer
    x = 81.06

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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.