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Finding the Fourth Proportional to 68.72, 95.22 and 64.67

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Solution

The fourth proportional to 68.72, 95.22 and 64.67 is: 89.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.72 : 95.22 = 64.67 : x
  2. Step 2: Convert to fraction form
    68.72/95.22 = 64.67/x
  3. Step 3: Cross multiply
    68.72x = 95.22 × 64.67
  4. Step 4: Simplify right side
    68.72x = 6,157.40
  5. Step 5: Solve for x
    x = 6,157.40/68.72
  6. Step 6: Final answer
    x = 89.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.