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Finding the Fourth Proportional to 68.65, 103.01 and 30.14

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Solution

The fourth proportional to 68.65, 103.01 and 30.14 is: 45.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.65 : 103.01 = 30.14 : x
  2. Step 2: Convert to fraction form
    68.65/103.01 = 30.14/x
  3. Step 3: Cross multiply
    68.65x = 103.01 × 30.14
  4. Step 4: Simplify right side
    68.65x = 3,105.05
  5. Step 5: Solve for x
    x = 3,105.05/68.65
  6. Step 6: Final answer
    x = 45.23

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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.