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Finding the Fourth Proportional to 34.90, 48.17 and 23.24

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Solution

The fourth proportional to 34.90, 48.17 and 23.24 is: 32.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.90 : 48.17 = 23.24 : x
  2. Step 2: Convert to fraction form
    34.90/48.17 = 23.24/x
  3. Step 3: Cross multiply
    34.90x = 48.17 × 23.24
  4. Step 4: Simplify right side
    34.90x = 1,119.47
  5. Step 5: Solve for x
    x = 1,119.47/34.90
  6. Step 6: Final answer
    x = 32.08

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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.