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Finding the Fourth Proportional to 39.02, 54.14 and 38.21

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Solution

The fourth proportional to 39.02, 54.14 and 38.21 is: 53.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.02 : 54.14 = 38.21 : x
  2. Step 2: Convert to fraction form
    39.02/54.14 = 38.21/x
  3. Step 3: Cross multiply
    39.02x = 54.14 × 38.21
  4. Step 4: Simplify right side
    39.02x = 2,068.23
  5. Step 5: Solve for x
    x = 2,068.23/39.02
  6. Step 6: Final answer
    x = 53.01

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Why These Related Problems?

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