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Finding the Fourth Proportional to 64.00, 95.91 and 23.38

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Solution

The fourth proportional to 64.00, 95.91 and 23.38 is: 35.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.00 : 95.91 = 23.38 : x
  2. Step 2: Convert to fraction form
    64.00/95.91 = 23.38/x
  3. Step 3: Cross multiply
    64.00x = 95.91 × 23.38
  4. Step 4: Simplify right side
    64.00x = 2,242.38
  5. Step 5: Solve for x
    x = 2,242.38/64.00
  6. Step 6: Final answer
    x = 35.04

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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.