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Finding the Fourth Proportional to 71.23, 106.84 and 34.67

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Solution

The fourth proportional to 71.23, 106.84 and 34.67 is: 52.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.23 : 106.84 = 34.67 : x
  2. Step 2: Convert to fraction form
    71.23/106.84 = 34.67/x
  3. Step 3: Cross multiply
    71.23x = 106.84 × 34.67
  4. Step 4: Simplify right side
    71.23x = 3,704.14
  5. Step 5: Solve for x
    x = 3,704.14/71.23
  6. Step 6: Final answer
    x = 52.00

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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.