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Finding the Fourth Proportional to 40.58, 61.17 and 38.23

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Solution

The fourth proportional to 40.58, 61.17 and 38.23 is: 57.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.58 : 61.17 = 38.23 : x
  2. Step 2: Convert to fraction form
    40.58/61.17 = 38.23/x
  3. Step 3: Cross multiply
    40.58x = 61.17 × 38.23
  4. Step 4: Simplify right side
    40.58x = 2,338.62
  5. Step 5: Solve for x
    x = 2,338.62/40.58
  6. Step 6: Final answer
    x = 57.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.