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Finding the Fourth Proportional to 68.21, 102.68 and 61.93

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Solution

The fourth proportional to 68.21, 102.68 and 61.93 is: 93.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.21 : 102.68 = 61.93 : x
  2. Step 2: Convert to fraction form
    68.21/102.68 = 61.93/x
  3. Step 3: Cross multiply
    68.21x = 102.68 × 61.93
  4. Step 4: Simplify right side
    68.21x = 6,358.97
  5. Step 5: Solve for x
    x = 6,358.97/68.21
  6. Step 6: Final answer
    x = 93.23

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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.