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Finding the Fourth Proportional to 108, 161.69 and 91.68

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Solution

The fourth proportional to 108, 161.69 and 91.68 is: 137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108 : 161.69 = 91.68 : x
  2. Step 2: Convert to fraction form
    108/161.69 = 91.68/x
  3. Step 3: Cross multiply
    108x = 161.69 × 91.68
  4. Step 4: Simplify right side
    108x = 14,823.28
  5. Step 5: Solve for x
    x = 14,823.28/108
  6. Step 6: Final answer
    x = 137.25

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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.