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Finding the Fourth Proportional to 39.42, 54.12 and 35.10

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Solution

The fourth proportional to 39.42, 54.12 and 35.10 is: 48.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.42 : 54.12 = 35.10 : x
  2. Step 2: Convert to fraction form
    39.42/54.12 = 35.10/x
  3. Step 3: Cross multiply
    39.42x = 54.12 × 35.10
  4. Step 4: Simplify right side
    39.42x = 1,899.61
  5. Step 5: Solve for x
    x = 1,899.61/39.42
  6. Step 6: Final answer
    x = 48.19

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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.