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Finding the Fourth Proportional to 64.29, 96.32 and 23.69

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Solution

The fourth proportional to 64.29, 96.32 and 23.69 is: 35.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.29 : 96.32 = 23.69 : x
  2. Step 2: Convert to fraction form
    64.29/96.32 = 23.69/x
  3. Step 3: Cross multiply
    64.29x = 96.32 × 23.69
  4. Step 4: Simplify right side
    64.29x = 2,281.22
  5. Step 5: Solve for x
    x = 2,281.22/64.29
  6. Step 6: Final answer
    x = 35.48

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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.