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Finding the Fourth Proportional to 68.11, 102.12 and 46.45

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Solution

The fourth proportional to 68.11, 102.12 and 46.45 is: 69.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.11 : 102.12 = 46.45 : x
  2. Step 2: Convert to fraction form
    68.11/102.12 = 46.45/x
  3. Step 3: Cross multiply
    68.11x = 102.12 × 46.45
  4. Step 4: Simplify right side
    68.11x = 4,743.47
  5. Step 5: Solve for x
    x = 4,743.47/68.11
  6. Step 6: Final answer
    x = 69.64

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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.