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Finding the Fourth Proportional to 39.34, 54.29 and 32.05

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Solution

The fourth proportional to 39.34, 54.29 and 32.05 is: 44.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.34 : 54.29 = 32.05 : x
  2. Step 2: Convert to fraction form
    39.34/54.29 = 32.05/x
  3. Step 3: Cross multiply
    39.34x = 54.29 × 32.05
  4. Step 4: Simplify right side
    39.34x = 1,739.83
  5. Step 5: Solve for x
    x = 1,739.83/39.34
  6. Step 6: Final answer
    x = 44.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.