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Finding the Fourth Proportional to 71.35, 106.96 and 30.75

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Solution

The fourth proportional to 71.35, 106.96 and 30.75 is: 46.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.35 : 106.96 = 30.75 : x
  2. Step 2: Convert to fraction form
    71.35/106.96 = 30.75/x
  3. Step 3: Cross multiply
    71.35x = 106.96 × 30.75
  4. Step 4: Simplify right side
    71.35x = 3,289.02
  5. Step 5: Solve for x
    x = 3,289.02/71.35
  6. Step 6: Final answer
    x = 46.10

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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.