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Finding the Fourth Proportional to 100.02, 137.44 and 97.29

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Solution

The fourth proportional to 100.02, 137.44 and 97.29 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 137.44 = 97.29 : x
  2. Step 2: Convert to fraction form
    100.02/137.44 = 97.29/x
  3. Step 3: Cross multiply
    100.02x = 137.44 × 97.29
  4. Step 4: Simplify right side
    100.02x = 13,371.54
  5. Step 5: Solve for x
    x = 13,371.54/100.02
  6. Step 6: Final answer
    x = 133.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.