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Finding the Fourth Proportional to 126.09, 188.30 and 101.75

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Solution

The fourth proportional to 126.09, 188.30 and 101.75 is: 151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.09 : 188.30 = 101.75 : x
  2. Step 2: Convert to fraction form
    126.09/188.30 = 101.75/x
  3. Step 3: Cross multiply
    126.09x = 188.30 × 101.75
  4. Step 4: Simplify right side
    126.09x = 19,158.84
  5. Step 5: Solve for x
    x = 19,158.84/126.09
  6. Step 6: Final answer
    x = 151.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.