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Finding the Fourth Proportional to 40.23, 55.16 and 39.69

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Solution

The fourth proportional to 40.23, 55.16 and 39.69 is: 54.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.23 : 55.16 = 39.69 : x
  2. Step 2: Convert to fraction form
    40.23/55.16 = 39.69/x
  3. Step 3: Cross multiply
    40.23x = 55.16 × 39.69
  4. Step 4: Simplify right side
    40.23x = 2,189.10
  5. Step 5: Solve for x
    x = 2,189.10/40.23
  6. Step 6: Final answer
    x = 54.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.