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Finding the Fourth Proportional to 71.11, 106.67 and 23.02

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Solution

The fourth proportional to 71.11, 106.67 and 23.02 is: 34.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.11 : 106.67 = 23.02 : x
  2. Step 2: Convert to fraction form
    71.11/106.67 = 23.02/x
  3. Step 3: Cross multiply
    71.11x = 106.67 × 23.02
  4. Step 4: Simplify right side
    71.11x = 2,455.54
  5. Step 5: Solve for x
    x = 2,455.54/71.11
  6. Step 6: Final answer
    x = 34.53

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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.