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Finding the Fourth Proportional to 68.58, 102.74 and 51.44

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Solution

The fourth proportional to 68.58, 102.74 and 51.44 is: 77.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.58 : 102.74 = 51.44 : x
  2. Step 2: Convert to fraction form
    68.58/102.74 = 51.44/x
  3. Step 3: Cross multiply
    68.58x = 102.74 × 51.44
  4. Step 4: Simplify right side
    68.58x = 5,284.17
  5. Step 5: Solve for x
    x = 5,284.17/68.58
  6. Step 6: Final answer
    x = 77.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.