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Finding the Fourth Proportional to 108.47, 161.84 and 96.93

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Solution

The fourth proportional to 108.47, 161.84 and 96.93 is: 144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.47 : 161.84 = 96.93 : x
  2. Step 2: Convert to fraction form
    108.47/161.84 = 96.93/x
  3. Step 3: Cross multiply
    108.47x = 161.84 × 96.93
  4. Step 4: Simplify right side
    108.47x = 15,687.15
  5. Step 5: Solve for x
    x = 15,687.15/108.47
  6. Step 6: Final answer
    x = 144.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.