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Finding the Fourth Proportional to 108.18, 160.89 and 107.10

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Solution

The fourth proportional to 108.18, 160.89 and 107.10 is: 159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.18 : 160.89 = 107.10 : x
  2. Step 2: Convert to fraction form
    108.18/160.89 = 107.10/x
  3. Step 3: Cross multiply
    108.18x = 160.89 × 107.10
  4. Step 4: Simplify right side
    108.18x = 17,231.32
  5. Step 5: Solve for x
    x = 17,231.32/108.18
  6. Step 6: Final answer
    x = 159.28

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