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Finding the Fourth Proportional to 64.69, 97 and 34.23

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Solution

The fourth proportional to 64.69, 97 and 34.23 is: 51.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.69 : 97 = 34.23 : x
  2. Step 2: Convert to fraction form
    64.69/97 = 34.23/x
  3. Step 3: Cross multiply
    64.69x = 97 × 34.23
  4. Step 4: Simplify right side
    64.69x = 3,320.31
  5. Step 5: Solve for x
    x = 3,320.31/64.69
  6. Step 6: Final answer
    x = 51.33

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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.