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Finding the Fourth Proportional to 29.11, 43.63 and 13.07

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Solution

The fourth proportional to 29.11, 43.63 and 13.07 is: 19.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.11 : 43.63 = 13.07 : x
  2. Step 2: Convert to fraction form
    29.11/43.63 = 13.07/x
  3. Step 3: Cross multiply
    29.11x = 43.63 × 13.07
  4. Step 4: Simplify right side
    29.11x = 570.24
  5. Step 5: Solve for x
    x = 570.24/29.11
  6. Step 6: Final answer
    x = 19.59

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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.