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Finding the Fourth Proportional to 79.36, 118.96 and 64.96

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Solution

The fourth proportional to 79.36, 118.96 and 64.96 is: 97.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.36 : 118.96 = 64.96 : x
  2. Step 2: Convert to fraction form
    79.36/118.96 = 64.96/x
  3. Step 3: Cross multiply
    79.36x = 118.96 × 64.96
  4. Step 4: Simplify right side
    79.36x = 7,727.64
  5. Step 5: Solve for x
    x = 7,727.64/79.36
  6. Step 6: Final answer
    x = 97.37

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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.