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Finding the Fourth Proportional to 68.54, 102.26 and 61.72

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Solution

The fourth proportional to 68.54, 102.26 and 61.72 is: 92.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.54 : 102.26 = 61.72 : x
  2. Step 2: Convert to fraction form
    68.54/102.26 = 61.72/x
  3. Step 3: Cross multiply
    68.54x = 102.26 × 61.72
  4. Step 4: Simplify right side
    68.54x = 6,311.49
  5. Step 5: Solve for x
    x = 6,311.49/68.54
  6. Step 6: Final answer
    x = 92.08

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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.