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Finding the Fourth Proportional to 106.90, 161.01 and 97.34

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Solution

The fourth proportional to 106.90, 161.01 and 97.34 is: 146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.90 : 161.01 = 97.34 : x
  2. Step 2: Convert to fraction form
    106.90/161.01 = 97.34/x
  3. Step 3: Cross multiply
    106.90x = 161.01 × 97.34
  4. Step 4: Simplify right side
    106.90x = 15,671.91
  5. Step 5: Solve for x
    x = 15,671.91/106.90
  6. Step 6: Final answer
    x = 146.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.