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Finding the Fourth Proportional to 40.07, 55.29 and 22.82

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Solution

The fourth proportional to 40.07, 55.29 and 22.82 is: 31.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.07 : 55.29 = 22.82 : x
  2. Step 2: Convert to fraction form
    40.07/55.29 = 22.82/x
  3. Step 3: Cross multiply
    40.07x = 55.29 × 22.82
  4. Step 4: Simplify right side
    40.07x = 1,261.33
  5. Step 5: Solve for x
    x = 1,261.33/40.07
  6. Step 6: Final answer
    x = 31.48

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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.