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Finding the Fourth Proportional to 137.85, 190.44 and 101.13

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Solution

The fourth proportional to 137.85, 190.44 and 101.13 is: 139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.85 : 190.44 = 101.13 : x
  2. Step 2: Convert to fraction form
    137.85/190.44 = 101.13/x
  3. Step 3: Cross multiply
    137.85x = 190.44 × 101.13
  4. Step 4: Simplify right side
    137.85x = 19,259.20
  5. Step 5: Solve for x
    x = 19,259.20/137.85
  6. Step 6: Final answer
    x = 139.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.