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Finding the Fourth Proportional to 32.02, 43.95 and 28.32

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Solution

The fourth proportional to 32.02, 43.95 and 28.32 is: 38.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.02 : 43.95 = 28.32 : x
  2. Step 2: Convert to fraction form
    32.02/43.95 = 28.32/x
  3. Step 3: Cross multiply
    32.02x = 43.95 × 28.32
  4. Step 4: Simplify right side
    32.02x = 1,244.66
  5. Step 5: Solve for x
    x = 1,244.66/32.02
  6. Step 6: Final answer
    x = 38.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.