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Finding the Fourth Proportional to 102.91, 142.07 and 67.99

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Solution

The fourth proportional to 102.91, 142.07 and 67.99 is: 93.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.91 : 142.07 = 67.99 : x
  2. Step 2: Convert to fraction form
    102.91/142.07 = 67.99/x
  3. Step 3: Cross multiply
    102.91x = 142.07 × 67.99
  4. Step 4: Simplify right side
    102.91x = 9,659.34
  5. Step 5: Solve for x
    x = 9,659.34/102.91
  6. Step 6: Final answer
    x = 93.86

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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.