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Finding the Fourth Proportional to 38.99, 53.49 and 38.68

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Solution

The fourth proportional to 38.99, 53.49 and 38.68 is: 53.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.99 : 53.49 = 38.68 : x
  2. Step 2: Convert to fraction form
    38.99/53.49 = 38.68/x
  3. Step 3: Cross multiply
    38.99x = 53.49 × 38.68
  4. Step 4: Simplify right side
    38.99x = 2,069.00
  5. Step 5: Solve for x
    x = 2,069.00/38.99
  6. Step 6: Final answer
    x = 53.06

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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.