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Finding the Fourth Proportional to 71.43, 107.08 and 35.33

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Solution

The fourth proportional to 71.43, 107.08 and 35.33 is: 52.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.43 : 107.08 = 35.33 : x
  2. Step 2: Convert to fraction form
    71.43/107.08 = 35.33/x
  3. Step 3: Cross multiply
    71.43x = 107.08 × 35.33
  4. Step 4: Simplify right side
    71.43x = 3,783.14
  5. Step 5: Solve for x
    x = 3,783.14/71.43
  6. Step 6: Final answer
    x = 52.96

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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.