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Finding the Fourth Proportional to 108.97, 162.24 and 107.32

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Solution

The fourth proportional to 108.97, 162.24 and 107.32 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.97 : 162.24 = 107.32 : x
  2. Step 2: Convert to fraction form
    108.97/162.24 = 107.32/x
  3. Step 3: Cross multiply
    108.97x = 162.24 × 107.32
  4. Step 4: Simplify right side
    108.97x = 17,412.27
  5. Step 5: Solve for x
    x = 17,412.27/108.97
  6. Step 6: Final answer
    x = 159.80

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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.