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Finding the Fourth Proportional to 71.39, 107.09 and 30.82

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Solution

The fourth proportional to 71.39, 107.09 and 30.82 is: 46.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.39 : 107.09 = 30.82 : x
  2. Step 2: Convert to fraction form
    71.39/107.09 = 30.82/x
  3. Step 3: Cross multiply
    71.39x = 107.09 × 30.82
  4. Step 4: Simplify right side
    71.39x = 3,300.51
  5. Step 5: Solve for x
    x = 3,300.51/71.39
  6. Step 6: Final answer
    x = 46.23

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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.