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Finding the Fourth Proportional to 69.12, 103.78 and 42.10

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Solution

The fourth proportional to 69.12, 103.78 and 42.10 is: 63.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.12 : 103.78 = 42.10 : x
  2. Step 2: Convert to fraction form
    69.12/103.78 = 42.10/x
  3. Step 3: Cross multiply
    69.12x = 103.78 × 42.10
  4. Step 4: Simplify right side
    69.12x = 4,369.14
  5. Step 5: Solve for x
    x = 4,369.14/69.12
  6. Step 6: Final answer
    x = 63.21

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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.