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Finding the Fourth Proportional to 68.96, 102.74 and 66.08

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Solution

The fourth proportional to 68.96, 102.74 and 66.08 is: 98.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.96 : 102.74 = 66.08 : x
  2. Step 2: Convert to fraction form
    68.96/102.74 = 66.08/x
  3. Step 3: Cross multiply
    68.96x = 102.74 × 66.08
  4. Step 4: Simplify right side
    68.96x = 6,789.06
  5. Step 5: Solve for x
    x = 6,789.06/68.96
  6. Step 6: Final answer
    x = 98.45

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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.