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Finding the Fourth Proportional to 135, 186.30 and 76.78

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Solution

The fourth proportional to 135, 186.30 and 76.78 is: 105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135 : 186.30 = 76.78 : x
  2. Step 2: Convert to fraction form
    135/186.30 = 76.78/x
  3. Step 3: Cross multiply
    135x = 186.30 × 76.78
  4. Step 4: Simplify right side
    135x = 14,304.35
  5. Step 5: Solve for x
    x = 14,304.35/135
  6. Step 6: Final answer
    x = 105.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.