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Finding the Fourth Proportional to 108.51, 161.49 and 108.17

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Solution

The fourth proportional to 108.51, 161.49 and 108.17 is: 160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.51 : 161.49 = 108.17 : x
  2. Step 2: Convert to fraction form
    108.51/161.49 = 108.17/x
  3. Step 3: Cross multiply
    108.51x = 161.49 × 108.17
  4. Step 4: Simplify right side
    108.51x = 17,468.58
  5. Step 5: Solve for x
    x = 17,468.58/108.51
  6. Step 6: Final answer
    x = 160.99

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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.