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Finding the Fourth Proportional to 40.23, 59.91 and 38.25

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Solution

The fourth proportional to 40.23, 59.91 and 38.25 is: 56.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.23 : 59.91 = 38.25 : x
  2. Step 2: Convert to fraction form
    40.23/59.91 = 38.25/x
  3. Step 3: Cross multiply
    40.23x = 59.91 × 38.25
  4. Step 4: Simplify right side
    40.23x = 2,291.56
  5. Step 5: Solve for x
    x = 2,291.56/40.23
  6. Step 6: Final answer
    x = 56.96

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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.