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Finding the Fourth Proportional to 31.28, 46.94 and 16.07

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Solution

The fourth proportional to 31.28, 46.94 and 16.07 is: 24.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.28 : 46.94 = 16.07 : x
  2. Step 2: Convert to fraction form
    31.28/46.94 = 16.07/x
  3. Step 3: Cross multiply
    31.28x = 46.94 × 16.07
  4. Step 4: Simplify right side
    31.28x = 754.48
  5. Step 5: Solve for x
    x = 754.48/31.28
  6. Step 6: Final answer
    x = 24.12

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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.