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Finding the Fourth Proportional to 107.49, 161.24 and 71.45

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Solution

The fourth proportional to 107.49, 161.24 and 71.45 is: 107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.49 : 161.24 = 71.45 : x
  2. Step 2: Convert to fraction form
    107.49/161.24 = 71.45/x
  3. Step 3: Cross multiply
    107.49x = 161.24 × 71.45
  4. Step 4: Simplify right side
    107.49x = 11,519.43
  5. Step 5: Solve for x
    x = 11,519.43/107.49
  6. Step 6: Final answer
    x = 107.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.