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Finding the Fourth Proportional to 68.12, 101.64 and 61.61

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Solution

The fourth proportional to 68.12, 101.64 and 61.61 is: 91.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.12 : 101.64 = 61.61 : x
  2. Step 2: Convert to fraction form
    68.12/101.64 = 61.61/x
  3. Step 3: Cross multiply
    68.12x = 101.64 × 61.61
  4. Step 4: Simplify right side
    68.12x = 6,262.04
  5. Step 5: Solve for x
    x = 6,262.04/68.12
  6. Step 6: Final answer
    x = 91.93

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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.