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Finding the Fourth Proportional to 68, 93.72 and 55.68

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Solution

The fourth proportional to 68, 93.72 and 55.68 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68 : 93.72 = 55.68 : x
  2. Step 2: Convert to fraction form
    68/93.72 = 55.68/x
  3. Step 3: Cross multiply
    68x = 93.72 × 55.68
  4. Step 4: Simplify right side
    68x = 5,218.33
  5. Step 5: Solve for x
    x = 5,218.33/68
  6. Step 6: Final answer
    x = 76.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.