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Finding the Fourth Proportional to 39.40, 54.32 and 32.10

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Solution

The fourth proportional to 39.40, 54.32 and 32.10 is: 44.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.40 : 54.32 = 32.10 : x
  2. Step 2: Convert to fraction form
    39.40/54.32 = 32.10/x
  3. Step 3: Cross multiply
    39.40x = 54.32 × 32.10
  4. Step 4: Simplify right side
    39.40x = 1,743.67
  5. Step 5: Solve for x
    x = 1,743.67/39.40
  6. Step 6: Final answer
    x = 44.26

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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.