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Finding the Fourth Proportional to 40.02, 54.90 and 39.48

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Solution

The fourth proportional to 40.02, 54.90 and 39.48 is: 54.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.02 : 54.90 = 39.48 : x
  2. Step 2: Convert to fraction form
    40.02/54.90 = 39.48/x
  3. Step 3: Cross multiply
    40.02x = 54.90 × 39.48
  4. Step 4: Simplify right side
    40.02x = 2,167.45
  5. Step 5: Solve for x
    x = 2,167.45/40.02
  6. Step 6: Final answer
    x = 54.16

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Why These Related Problems?

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