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Finding the Fourth Proportional to 68.05, 102.07 and 40.98

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Solution

The fourth proportional to 68.05, 102.07 and 40.98 is: 61.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.05 : 102.07 = 40.98 : x
  2. Step 2: Convert to fraction form
    68.05/102.07 = 40.98/x
  3. Step 3: Cross multiply
    68.05x = 102.07 × 40.98
  4. Step 4: Simplify right side
    68.05x = 4,182.83
  5. Step 5: Solve for x
    x = 4,182.83/68.05
  6. Step 6: Final answer
    x = 61.47

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Why These Related Problems?

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