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Finding the Fourth Proportional to 71.42, 107.14 and 30.86

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Solution

The fourth proportional to 71.42, 107.14 and 30.86 is: 46.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.42 : 107.14 = 30.86 : x
  2. Step 2: Convert to fraction form
    71.42/107.14 = 30.86/x
  3. Step 3: Cross multiply
    71.42x = 107.14 × 30.86
  4. Step 4: Simplify right side
    71.42x = 3,306.34
  5. Step 5: Solve for x
    x = 3,306.34/71.42
  6. Step 6: Final answer
    x = 46.29

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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.