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Finding the Fourth Proportional to 77.02, 115.49 and 31.32

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Solution

The fourth proportional to 77.02, 115.49 and 31.32 is: 46.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.02 : 115.49 = 31.32 : x
  2. Step 2: Convert to fraction form
    77.02/115.49 = 31.32/x
  3. Step 3: Cross multiply
    77.02x = 115.49 × 31.32
  4. Step 4: Simplify right side
    77.02x = 3,617.09
  5. Step 5: Solve for x
    x = 3,617.09/77.02
  6. Step 6: Final answer
    x = 46.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.