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Finding the Fourth Proportional to 68.01, 102.14 and 42.38

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Solution

The fourth proportional to 68.01, 102.14 and 42.38 is: 63.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.01 : 102.14 = 42.38 : x
  2. Step 2: Convert to fraction form
    68.01/102.14 = 42.38/x
  3. Step 3: Cross multiply
    68.01x = 102.14 × 42.38
  4. Step 4: Simplify right side
    68.01x = 4,328.69
  5. Step 5: Solve for x
    x = 4,328.69/68.01
  6. Step 6: Final answer
    x = 63.65

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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.