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Finding the Fourth Proportional to 108.08, 161.76 and 96.08

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Solution

The fourth proportional to 108.08, 161.76 and 96.08 is: 143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.08 : 161.76 = 96.08 : x
  2. Step 2: Convert to fraction form
    108.08/161.76 = 96.08/x
  3. Step 3: Cross multiply
    108.08x = 161.76 × 96.08
  4. Step 4: Simplify right side
    108.08x = 15,541.90
  5. Step 5: Solve for x
    x = 15,541.90/108.08
  6. Step 6: Final answer
    x = 143.80

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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.