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Finding the Fourth Proportional to 100.30, 138.41 and 74.09

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Solution

The fourth proportional to 100.30, 138.41 and 74.09 is: 102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.30 : 138.41 = 74.09 : x
  2. Step 2: Convert to fraction form
    100.30/138.41 = 74.09/x
  3. Step 3: Cross multiply
    100.30x = 138.41 × 74.09
  4. Step 4: Simplify right side
    100.30x = 10,254.61
  5. Step 5: Solve for x
    x = 10,254.61/100.30
  6. Step 6: Final answer
    x = 102.24

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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.