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Finding the Fourth Proportional to 31.33, 46.95 and 28.48

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Solution

The fourth proportional to 31.33, 46.95 and 28.48 is: 42.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.33 : 46.95 = 28.48 : x
  2. Step 2: Convert to fraction form
    31.33/46.95 = 28.48/x
  3. Step 3: Cross multiply
    31.33x = 46.95 × 28.48
  4. Step 4: Simplify right side
    31.33x = 1,337.14
  5. Step 5: Solve for x
    x = 1,337.14/31.33
  6. Step 6: Final answer
    x = 42.68

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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.