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Finding the Fourth Proportional to 22.54, 31.10 and 19.30

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Solution

The fourth proportional to 22.54, 31.10 and 19.30 is: 26.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.54 : 31.10 = 19.30 : x
  2. Step 2: Convert to fraction form
    22.54/31.10 = 19.30/x
  3. Step 3: Cross multiply
    22.54x = 31.10 × 19.30
  4. Step 4: Simplify right side
    22.54x = 599.98
  5. Step 5: Solve for x
    x = 599.98/22.54
  6. Step 6: Final answer
    x = 26.62

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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.