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Finding the Fourth Proportional to 68.72, 102.96 and 55.16

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Solution

The fourth proportional to 68.72, 102.96 and 55.16 is: 82.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.72 : 102.96 = 55.16 : x
  2. Step 2: Convert to fraction form
    68.72/102.96 = 55.16/x
  3. Step 3: Cross multiply
    68.72x = 102.96 × 55.16
  4. Step 4: Simplify right side
    68.72x = 5,679.27
  5. Step 5: Solve for x
    x = 5,679.27/68.72
  6. Step 6: Final answer
    x = 82.64

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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.