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Finding the Fourth Proportional to 126.52, 189.56 and 92.10

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Solution

The fourth proportional to 126.52, 189.56 and 92.10 is: 137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.52 : 189.56 = 92.10 : x
  2. Step 2: Convert to fraction form
    126.52/189.56 = 92.10/x
  3. Step 3: Cross multiply
    126.52x = 189.56 × 92.10
  4. Step 4: Simplify right side
    126.52x = 17,458.48
  5. Step 5: Solve for x
    x = 17,458.48/126.52
  6. Step 6: Final answer
    x = 137.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.