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Finding the Fourth Proportional to 105.23, 145.29 and 67.95

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Solution

The fourth proportional to 105.23, 145.29 and 67.95 is: 93.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.23 : 145.29 = 67.95 : x
  2. Step 2: Convert to fraction form
    105.23/145.29 = 67.95/x
  3. Step 3: Cross multiply
    105.23x = 145.29 × 67.95
  4. Step 4: Simplify right side
    105.23x = 9,872.12
  5. Step 5: Solve for x
    x = 9,872.12/105.23
  6. Step 6: Final answer
    x = 93.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.