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Finding the Fourth Proportional to 68.03, 102.01 and 31.94

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Solution

The fourth proportional to 68.03, 102.01 and 31.94 is: 47.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.03 : 102.01 = 31.94 : x
  2. Step 2: Convert to fraction form
    68.03/102.01 = 31.94/x
  3. Step 3: Cross multiply
    68.03x = 102.01 × 31.94
  4. Step 4: Simplify right side
    68.03x = 3,258.20
  5. Step 5: Solve for x
    x = 3,258.20/68.03
  6. Step 6: Final answer
    x = 47.89

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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.