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Finding the Fourth Proportional to 137.12, 188.84 and 98.24

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Solution

The fourth proportional to 137.12, 188.84 and 98.24 is: 135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.12 : 188.84 = 98.24 : x
  2. Step 2: Convert to fraction form
    137.12/188.84 = 98.24/x
  3. Step 3: Cross multiply
    137.12x = 188.84 × 98.24
  4. Step 4: Simplify right side
    137.12x = 18,551.64
  5. Step 5: Solve for x
    x = 18,551.64/137.12
  6. Step 6: Final answer
    x = 135.29

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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.