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Finding the Fourth Proportional to 137.01, 205.14 and 106.44

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Solution

The fourth proportional to 137.01, 205.14 and 106.44 is: 159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.01 : 205.14 = 106.44 : x
  2. Step 2: Convert to fraction form
    137.01/205.14 = 106.44/x
  3. Step 3: Cross multiply
    137.01x = 205.14 × 106.44
  4. Step 4: Simplify right side
    137.01x = 21,835.10
  5. Step 5: Solve for x
    x = 21,835.10/137.01
  6. Step 6: Final answer
    x = 159.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.