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Finding the Fourth Proportional to 64.19, 96.23 and 25.66

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Solution

The fourth proportional to 64.19, 96.23 and 25.66 is: 38.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.19 : 96.23 = 25.66 : x
  2. Step 2: Convert to fraction form
    64.19/96.23 = 25.66/x
  3. Step 3: Cross multiply
    64.19x = 96.23 × 25.66
  4. Step 4: Simplify right side
    64.19x = 2,469.26
  5. Step 5: Solve for x
    x = 2,469.26/64.19
  6. Step 6: Final answer
    x = 38.47

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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.