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Finding the Fourth Proportional to 100.07, 138.14 and 67.31

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Solution

The fourth proportional to 100.07, 138.14 and 67.31 is: 92.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.07 : 138.14 = 67.31 : x
  2. Step 2: Convert to fraction form
    100.07/138.14 = 67.31/x
  3. Step 3: Cross multiply
    100.07x = 138.14 × 67.31
  4. Step 4: Simplify right side
    100.07x = 9,297.18
  5. Step 5: Solve for x
    x = 9,297.18/100.07
  6. Step 6: Final answer
    x = 92.91

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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.