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Finding the Fourth Proportional to 64.03, 96.02 and 23.43

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Solution

The fourth proportional to 64.03, 96.02 and 23.43 is: 35.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.03 : 96.02 = 23.43 : x
  2. Step 2: Convert to fraction form
    64.03/96.02 = 23.43/x
  3. Step 3: Cross multiply
    64.03x = 96.02 × 23.43
  4. Step 4: Simplify right side
    64.03x = 2,249.75
  5. Step 5: Solve for x
    x = 2,249.75/64.03
  6. Step 6: Final answer
    x = 35.14

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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.