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Finding the Fourth Proportional to 68.42, 101.94 and 67.08

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Solution

The fourth proportional to 68.42, 101.94 and 67.08 is: 99.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.42 : 101.94 = 67.08 : x
  2. Step 2: Convert to fraction form
    68.42/101.94 = 67.08/x
  3. Step 3: Cross multiply
    68.42x = 101.94 × 67.08
  4. Step 4: Simplify right side
    68.42x = 6,838.14
  5. Step 5: Solve for x
    x = 6,838.14/68.42
  6. Step 6: Final answer
    x = 99.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.