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Finding the Fourth Proportional to 68.22, 101.66 and 65.61

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Solution

The fourth proportional to 68.22, 101.66 and 65.61 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.22 : 101.66 = 65.61 : x
  2. Step 2: Convert to fraction form
    68.22/101.66 = 65.61/x
  3. Step 3: Cross multiply
    68.22x = 101.66 × 65.61
  4. Step 4: Simplify right side
    68.22x = 6,669.58
  5. Step 5: Solve for x
    x = 6,669.58/68.22
  6. Step 6: Final answer
    x = 97.77

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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.