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Finding the Fourth Proportional to 126.32, 189.38 and 74.99

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Solution

The fourth proportional to 126.32, 189.38 and 74.99 is: 112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.32 : 189.38 = 74.99 : x
  2. Step 2: Convert to fraction form
    126.32/189.38 = 74.99/x
  3. Step 3: Cross multiply
    126.32x = 189.38 × 74.99
  4. Step 4: Simplify right side
    126.32x = 14,200.28
  5. Step 5: Solve for x
    x = 14,200.28/126.32
  6. Step 6: Final answer
    x = 112.42

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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.