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Finding the Fourth Proportional to 108.01, 160.70 and 105.22

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Solution

The fourth proportional to 108.01, 160.70 and 105.22 is: 156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.01 : 160.70 = 105.22 : x
  2. Step 2: Convert to fraction form
    108.01/160.70 = 105.22/x
  3. Step 3: Cross multiply
    108.01x = 160.70 × 105.22
  4. Step 4: Simplify right side
    108.01x = 16,908.85
  5. Step 5: Solve for x
    x = 16,908.85/108.01
  6. Step 6: Final answer
    x = 156.55

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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.