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Finding the Fourth Proportional to 102.62, 141.66 and 67.64

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Solution

The fourth proportional to 102.62, 141.66 and 67.64 is: 93.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.62 : 141.66 = 67.64 : x
  2. Step 2: Convert to fraction form
    102.62/141.66 = 67.64/x
  3. Step 3: Cross multiply
    102.62x = 141.66 × 67.64
  4. Step 4: Simplify right side
    102.62x = 9,581.88
  5. Step 5: Solve for x
    x = 9,581.88/102.62
  6. Step 6: Final answer
    x = 93.37

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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.