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Finding the Fourth Proportional to 38.23, 53 and 36.18

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Solution

The fourth proportional to 38.23, 53 and 36.18 is: 50.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.23 : 53 = 36.18 : x
  2. Step 2: Convert to fraction form
    38.23/53 = 36.18/x
  3. Step 3: Cross multiply
    38.23x = 53 × 36.18
  4. Step 4: Simplify right side
    38.23x = 1,917.54
  5. Step 5: Solve for x
    x = 1,917.54/38.23
  6. Step 6: Final answer
    x = 50.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.