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Finding the Fourth Proportional to 77.19, 115.83 and 31.53

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Solution

The fourth proportional to 77.19, 115.83 and 31.53 is: 47.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.19 : 115.83 = 31.53 : x
  2. Step 2: Convert to fraction form
    77.19/115.83 = 31.53/x
  3. Step 3: Cross multiply
    77.19x = 115.83 × 31.53
  4. Step 4: Simplify right side
    77.19x = 3,652.12
  5. Step 5: Solve for x
    x = 3,652.12/77.19
  6. Step 6: Final answer
    x = 47.31

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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.