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Finding the Fourth Proportional to 64.38, 96.54 and 23.22

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Solution

The fourth proportional to 64.38, 96.54 and 23.22 is: 34.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.38 : 96.54 = 23.22 : x
  2. Step 2: Convert to fraction form
    64.38/96.54 = 23.22/x
  3. Step 3: Cross multiply
    64.38x = 96.54 × 23.22
  4. Step 4: Simplify right side
    64.38x = 2,241.57
  5. Step 5: Solve for x
    x = 2,241.57/64.38
  6. Step 6: Final answer
    x = 34.82

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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.