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Finding the Fourth Proportional to 64.70, 96.94 and 24.09

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Solution

The fourth proportional to 64.70, 96.94 and 24.09 is: 36.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.70 : 96.94 = 24.09 : x
  2. Step 2: Convert to fraction form
    64.70/96.94 = 24.09/x
  3. Step 3: Cross multiply
    64.70x = 96.94 × 24.09
  4. Step 4: Simplify right side
    64.70x = 2,335.16
  5. Step 5: Solve for x
    x = 2,335.16/64.70
  6. Step 6: Final answer
    x = 36.09

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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.