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Finding the Fourth Proportional to 64.90, 97.44 and 34.09

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Solution

The fourth proportional to 64.90, 97.44 and 34.09 is: 51.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.90 : 97.44 = 34.09 : x
  2. Step 2: Convert to fraction form
    64.90/97.44 = 34.09/x
  3. Step 3: Cross multiply
    64.90x = 97.44 × 34.09
  4. Step 4: Simplify right side
    64.90x = 3,321.36
  5. Step 5: Solve for x
    x = 3,321.36/64.90
  6. Step 6: Final answer
    x = 51.18

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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.