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Finding the Fourth Proportional to 29.32, 43.94 and 13.06

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Solution

The fourth proportional to 29.32, 43.94 and 13.06 is: 19.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.32 : 43.94 = 13.06 : x
  2. Step 2: Convert to fraction form
    29.32/43.94 = 13.06/x
  3. Step 3: Cross multiply
    29.32x = 43.94 × 13.06
  4. Step 4: Simplify right side
    29.32x = 573.79
  5. Step 5: Solve for x
    x = 573.79/29.32
  6. Step 6: Final answer
    x = 19.57

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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.