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Finding the Fourth Proportional to 77.04, 115.58 and 31.43

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Solution

The fourth proportional to 77.04, 115.58 and 31.43 is: 47.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.04 : 115.58 = 31.43 : x
  2. Step 2: Convert to fraction form
    77.04/115.58 = 31.43/x
  3. Step 3: Cross multiply
    77.04x = 115.58 × 31.43
  4. Step 4: Simplify right side
    77.04x = 3,633.05
  5. Step 5: Solve for x
    x = 3,633.05/77.04
  6. Step 6: Final answer
    x = 47.16

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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.