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Finding the Fourth Proportional to 67.72, 102.15 and 65.56

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Solution

The fourth proportional to 67.72, 102.15 and 65.56 is: 98.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.72 : 102.15 = 65.56 : x
  2. Step 2: Convert to fraction form
    67.72/102.15 = 65.56/x
  3. Step 3: Cross multiply
    67.72x = 102.15 × 65.56
  4. Step 4: Simplify right side
    67.72x = 6,696.95
  5. Step 5: Solve for x
    x = 6,696.95/67.72
  6. Step 6: Final answer
    x = 98.89

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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.