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Finding the Fourth Proportional to 35.41, 48.65 and 31.09

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Solution

The fourth proportional to 35.41, 48.65 and 31.09 is: 42.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.41 : 48.65 = 31.09 : x
  2. Step 2: Convert to fraction form
    35.41/48.65 = 31.09/x
  3. Step 3: Cross multiply
    35.41x = 48.65 × 31.09
  4. Step 4: Simplify right side
    35.41x = 1,512.53
  5. Step 5: Solve for x
    x = 1,512.53/35.41
  6. Step 6: Final answer
    x = 42.71

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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.