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Finding the Fourth Proportional to 64.23, 96.28 and 23.63

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Solution

The fourth proportional to 64.23, 96.28 and 23.63 is: 35.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.23 : 96.28 = 23.63 : x
  2. Step 2: Convert to fraction form
    64.23/96.28 = 23.63/x
  3. Step 3: Cross multiply
    64.23x = 96.28 × 23.63
  4. Step 4: Simplify right side
    64.23x = 2,275.10
  5. Step 5: Solve for x
    x = 2,275.10/64.23
  6. Step 6: Final answer
    x = 35.42

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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.