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Finding the Fourth Proportional to 29.13, 43.69 and 7.75

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Solution

The fourth proportional to 29.13, 43.69 and 7.75 is: 11.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.13 : 43.69 = 7.75 : x
  2. Step 2: Convert to fraction form
    29.13/43.69 = 7.75/x
  3. Step 3: Cross multiply
    29.13x = 43.69 × 7.75
  4. Step 4: Simplify right side
    29.13x = 338.60
  5. Step 5: Solve for x
    x = 338.60/29.13
  6. Step 6: Final answer
    x = 11.63

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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.