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Finding the Fourth Proportional to 135.79, 203.56 and 77.99

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Solution

The fourth proportional to 135.79, 203.56 and 77.99 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.79 : 203.56 = 77.99 : x
  2. Step 2: Convert to fraction form
    135.79/203.56 = 77.99/x
  3. Step 3: Cross multiply
    135.79x = 203.56 × 77.99
  4. Step 4: Simplify right side
    135.79x = 15,874.43
  5. Step 5: Solve for x
    x = 15,874.43/135.79
  6. Step 6: Final answer
    x = 116.91

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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.