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Finding the Fourth Proportional to 126.19, 188.97 and 77.46

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Solution

The fourth proportional to 126.19, 188.97 and 77.46 is: 116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.19 : 188.97 = 77.46 : x
  2. Step 2: Convert to fraction form
    126.19/188.97 = 77.46/x
  3. Step 3: Cross multiply
    126.19x = 188.97 × 77.46
  4. Step 4: Simplify right side
    126.19x = 14,637.62
  5. Step 5: Solve for x
    x = 14,637.62/126.19
  6. Step 6: Final answer
    x = 116.00

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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.