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Finding the Fourth Proportional to 34.89, 48.17 and 31.25

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Solution

The fourth proportional to 34.89, 48.17 and 31.25 is: 43.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.89 : 48.17 = 31.25 : x
  2. Step 2: Convert to fraction form
    34.89/48.17 = 31.25/x
  3. Step 3: Cross multiply
    34.89x = 48.17 × 31.25
  4. Step 4: Simplify right side
    34.89x = 1,505.07
  5. Step 5: Solve for x
    x = 1,505.07/34.89
  6. Step 6: Final answer
    x = 43.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.