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Finding the Fourth Proportional to 40.02, 55.23 and 22.54

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Solution

The fourth proportional to 40.02, 55.23 and 22.54 is: 31.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.02 : 55.23 = 22.54 : x
  2. Step 2: Convert to fraction form
    40.02/55.23 = 22.54/x
  3. Step 3: Cross multiply
    40.02x = 55.23 × 22.54
  4. Step 4: Simplify right side
    40.02x = 1,244.77
  5. Step 5: Solve for x
    x = 1,244.77/40.02
  6. Step 6: Final answer
    x = 31.10

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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.