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Finding the Fourth Proportional to 39.62, 54.93 and 39.05

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Solution

The fourth proportional to 39.62, 54.93 and 39.05 is: 54.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.62 : 54.93 = 39.05 : x
  2. Step 2: Convert to fraction form
    39.62/54.93 = 39.05/x
  3. Step 3: Cross multiply
    39.62x = 54.93 × 39.05
  4. Step 4: Simplify right side
    39.62x = 2,145.02
  5. Step 5: Solve for x
    x = 2,145.02/39.62
  6. Step 6: Final answer
    x = 54.14

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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.