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Finding the Fourth Proportional to 68.54, 102.90 and 44.64

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Solution

The fourth proportional to 68.54, 102.90 and 44.64 is: 67.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.54 : 102.90 = 44.64 : x
  2. Step 2: Convert to fraction form
    68.54/102.90 = 44.64/x
  3. Step 3: Cross multiply
    68.54x = 102.90 × 44.64
  4. Step 4: Simplify right side
    68.54x = 4,593.46
  5. Step 5: Solve for x
    x = 4,593.46/68.54
  6. Step 6: Final answer
    x = 67.02

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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.