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Finding the Fourth Proportional to 31, 46.46 and 17.48

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Solution

The fourth proportional to 31, 46.46 and 17.48 is: 26.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 46.46 = 17.48 : x
  2. Step 2: Convert to fraction form
    31/46.46 = 17.48/x
  3. Step 3: Cross multiply
    31x = 46.46 × 17.48
  4. Step 4: Simplify right side
    31x = 812.12
  5. Step 5: Solve for x
    x = 812.12/31
  6. Step 6: Final answer
    x = 26.20

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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.