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Finding the Fourth Proportional to 68.37, 103.02 and 65.85

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Solution

The fourth proportional to 68.37, 103.02 and 65.85 is: 99.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.37 : 103.02 = 65.85 : x
  2. Step 2: Convert to fraction form
    68.37/103.02 = 65.85/x
  3. Step 3: Cross multiply
    68.37x = 103.02 × 65.85
  4. Step 4: Simplify right side
    68.37x = 6,783.87
  5. Step 5: Solve for x
    x = 6,783.87/68.37
  6. Step 6: Final answer
    x = 99.22

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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.