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Finding the Fourth Proportional to 68.93, 95.13 and 37.85

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Solution

The fourth proportional to 68.93, 95.13 and 37.85 is: 52.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.93 : 95.13 = 37.85 : x
  2. Step 2: Convert to fraction form
    68.93/95.13 = 37.85/x
  3. Step 3: Cross multiply
    68.93x = 95.13 × 37.85
  4. Step 4: Simplify right side
    68.93x = 3,600.31
  5. Step 5: Solve for x
    x = 3,600.31/68.93
  6. Step 6: Final answer
    x = 52.23

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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.