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Finding the Fourth Proportional to 102.56, 141.56 and 67.11

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Solution

The fourth proportional to 102.56, 141.56 and 67.11 is: 92.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 141.56 = 67.11 : x
  2. Step 2: Convert to fraction form
    102.56/141.56 = 67.11/x
  3. Step 3: Cross multiply
    102.56x = 141.56 × 67.11
  4. Step 4: Simplify right side
    102.56x = 9,500.65
  5. Step 5: Solve for x
    x = 9,500.65/102.56
  6. Step 6: Final answer
    x = 92.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.