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Finding the Fourth Proportional to 108.08, 161.91 and 91.88

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Solution

The fourth proportional to 108.08, 161.91 and 91.88 is: 137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.08 : 161.91 = 91.88 : x
  2. Step 2: Convert to fraction form
    108.08/161.91 = 91.88/x
  3. Step 3: Cross multiply
    108.08x = 161.91 × 91.88
  4. Step 4: Simplify right side
    108.08x = 14,875.48
  5. Step 5: Solve for x
    x = 14,875.48/108.08
  6. Step 6: Final answer
    x = 137.64

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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.