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Finding the Fourth Proportional to 77.35, 115.93 and 74.65

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Solution

The fourth proportional to 77.35, 115.93 and 74.65 is: 111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.35 : 115.93 = 74.65 : x
  2. Step 2: Convert to fraction form
    77.35/115.93 = 74.65/x
  3. Step 3: Cross multiply
    77.35x = 115.93 × 74.65
  4. Step 4: Simplify right side
    77.35x = 8,654.17
  5. Step 5: Solve for x
    x = 8,654.17/77.35
  6. Step 6: Final answer
    x = 111.88

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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.