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Finding the Fourth Proportional to 116.02, 173.94 and 64.68

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Solution

The fourth proportional to 116.02, 173.94 and 64.68 is: 96.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.02 : 173.94 = 64.68 : x
  2. Step 2: Convert to fraction form
    116.02/173.94 = 64.68/x
  3. Step 3: Cross multiply
    116.02x = 173.94 × 64.68
  4. Step 4: Simplify right side
    116.02x = 11,250.44
  5. Step 5: Solve for x
    x = 11,250.44/116.02
  6. Step 6: Final answer
    x = 96.97

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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.