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Finding the Fourth Proportional to 34.90, 48.19 and 22.62

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Solution

The fourth proportional to 34.90, 48.19 and 22.62 is: 31.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.90 : 48.19 = 22.62 : x
  2. Step 2: Convert to fraction form
    34.90/48.19 = 22.62/x
  3. Step 3: Cross multiply
    34.90x = 48.19 × 22.62
  4. Step 4: Simplify right side
    34.90x = 1,090.06
  5. Step 5: Solve for x
    x = 1,090.06/34.90
  6. Step 6: Final answer
    x = 31.23

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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.