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Finding the Fourth Proportional to 39.24, 53.73 and 38.88

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Solution

The fourth proportional to 39.24, 53.73 and 38.88 is: 53.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.24 : 53.73 = 38.88 : x
  2. Step 2: Convert to fraction form
    39.24/53.73 = 38.88/x
  3. Step 3: Cross multiply
    39.24x = 53.73 × 38.88
  4. Step 4: Simplify right side
    39.24x = 2,089.02
  5. Step 5: Solve for x
    x = 2,089.02/39.24
  6. Step 6: Final answer
    x = 53.24

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