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Finding the Fourth Proportional to 108.10, 160.84 and 107.74

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Solution

The fourth proportional to 108.10, 160.84 and 107.74 is: 160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.10 : 160.84 = 107.74 : x
  2. Step 2: Convert to fraction form
    108.10/160.84 = 107.74/x
  3. Step 3: Cross multiply
    108.10x = 160.84 × 107.74
  4. Step 4: Simplify right side
    108.10x = 17,328.10
  5. Step 5: Solve for x
    x = 17,328.10/108.10
  6. Step 6: Final answer
    x = 160.30

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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.