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Finding the Fourth Proportional to 32.32, 48.52 and 28.96

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Solution

The fourth proportional to 32.32, 48.52 and 28.96 is: 43.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.32 : 48.52 = 28.96 : x
  2. Step 2: Convert to fraction form
    32.32/48.52 = 28.96/x
  3. Step 3: Cross multiply
    32.32x = 48.52 × 28.96
  4. Step 4: Simplify right side
    32.32x = 1,405.14
  5. Step 5: Solve for x
    x = 1,405.14/32.32
  6. Step 6: Final answer
    x = 43.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.