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Finding the Fourth Proportional to 38.13, 56.81 and 36.59

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Solution

The fourth proportional to 38.13, 56.81 and 36.59 is: 54.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.13 : 56.81 = 36.59 : x
  2. Step 2: Convert to fraction form
    38.13/56.81 = 36.59/x
  3. Step 3: Cross multiply
    38.13x = 56.81 × 36.59
  4. Step 4: Simplify right side
    38.13x = 2,078.84
  5. Step 5: Solve for x
    x = 2,078.84/38.13
  6. Step 6: Final answer
    x = 54.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.