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Finding the Fourth Proportional to 22.24, 33.10 and 22.10

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Solution

The fourth proportional to 22.24, 33.10 and 22.10 is: 32.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.24 : 33.10 = 22.10 : x
  2. Step 2: Convert to fraction form
    22.24/33.10 = 22.10/x
  3. Step 3: Cross multiply
    22.24x = 33.10 × 22.10
  4. Step 4: Simplify right side
    22.24x = 731.51
  5. Step 5: Solve for x
    x = 731.51/22.24
  6. Step 6: Final answer
    x = 32.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.