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Finding the Fourth Proportional to 40.66, 56.11 and 22.24

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Solution

The fourth proportional to 40.66, 56.11 and 22.24 is: 30.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.66 : 56.11 = 22.24 : x
  2. Step 2: Convert to fraction form
    40.66/56.11 = 22.24/x
  3. Step 3: Cross multiply
    40.66x = 56.11 × 22.24
  4. Step 4: Simplify right side
    40.66x = 1,247.72
  5. Step 5: Solve for x
    x = 1,247.72/40.66
  6. Step 6: Final answer
    x = 30.69

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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.