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Finding the Fourth Proportional to 64.62, 96.91 and 21.87

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Solution

The fourth proportional to 64.62, 96.91 and 21.87 is: 32.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.62 : 96.91 = 21.87 : x
  2. Step 2: Convert to fraction form
    64.62/96.91 = 21.87/x
  3. Step 3: Cross multiply
    64.62x = 96.91 × 21.87
  4. Step 4: Simplify right side
    64.62x = 2,119.42
  5. Step 5: Solve for x
    x = 2,119.42/64.62
  6. Step 6: Final answer
    x = 32.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.