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Finding the Fourth Proportional to 35.73, 49.14 and 31.14

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Solution

The fourth proportional to 35.73, 49.14 and 31.14 is: 42.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.73 : 49.14 = 31.14 : x
  2. Step 2: Convert to fraction form
    35.73/49.14 = 31.14/x
  3. Step 3: Cross multiply
    35.73x = 49.14 × 31.14
  4. Step 4: Simplify right side
    35.73x = 1,530.22
  5. Step 5: Solve for x
    x = 1,530.22/35.73
  6. Step 6: Final answer
    x = 42.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.