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Finding the Fourth Proportional to 71.57, 106.76 and 65.67

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Solution

The fourth proportional to 71.57, 106.76 and 65.67 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.57 : 106.76 = 65.67 : x
  2. Step 2: Convert to fraction form
    71.57/106.76 = 65.67/x
  3. Step 3: Cross multiply
    71.57x = 106.76 × 65.67
  4. Step 4: Simplify right side
    71.57x = 7,010.87
  5. Step 5: Solve for x
    x = 7,010.87/71.57
  6. Step 6: Final answer
    x = 97.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.