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Finding the Fourth Proportional to 109.70, 162.71 and 108.08

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Solution

The fourth proportional to 109.70, 162.71 and 108.08 is: 160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.70 : 162.71 = 108.08 : x
  2. Step 2: Convert to fraction form
    109.70/162.71 = 108.08/x
  3. Step 3: Cross multiply
    109.70x = 162.71 × 108.08
  4. Step 4: Simplify right side
    109.70x = 17,584.34
  5. Step 5: Solve for x
    x = 17,584.34/109.70
  6. Step 6: Final answer
    x = 160.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.