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Finding the Fourth Proportional to 77.08, 115.36 and 46.72

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Solution

The fourth proportional to 77.08, 115.36 and 46.72 is: 69.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.08 : 115.36 = 46.72 : x
  2. Step 2: Convert to fraction form
    77.08/115.36 = 46.72/x
  3. Step 3: Cross multiply
    77.08x = 115.36 × 46.72
  4. Step 4: Simplify right side
    77.08x = 5,389.62
  5. Step 5: Solve for x
    x = 5,389.62/77.08
  6. Step 6: Final answer
    x = 69.92

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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.