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Finding the Fourth Proportional to 77.34, 115.96 and 29.23

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Solution

The fourth proportional to 77.34, 115.96 and 29.23 is: 43.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.34 : 115.96 = 29.23 : x
  2. Step 2: Convert to fraction form
    77.34/115.96 = 29.23/x
  3. Step 3: Cross multiply
    77.34x = 115.96 × 29.23
  4. Step 4: Simplify right side
    77.34x = 3,389.51
  5. Step 5: Solve for x
    x = 3,389.51/77.34
  6. Step 6: Final answer
    x = 43.83

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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.