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Finding the Fourth Proportional to 71.44, 107.14 and 30.84

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Solution

The fourth proportional to 71.44, 107.14 and 30.84 is: 46.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.44 : 107.14 = 30.84 : x
  2. Step 2: Convert to fraction form
    71.44/107.14 = 30.84/x
  3. Step 3: Cross multiply
    71.44x = 107.14 × 30.84
  4. Step 4: Simplify right side
    71.44x = 3,304.20
  5. Step 5: Solve for x
    x = 3,304.20/71.44
  6. Step 6: Final answer
    x = 46.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.