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Finding the Fourth Proportional to 137.86, 190.16 and 98.45

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Solution

The fourth proportional to 137.86, 190.16 and 98.45 is: 135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.86 : 190.16 = 98.45 : x
  2. Step 2: Convert to fraction form
    137.86/190.16 = 98.45/x
  3. Step 3: Cross multiply
    137.86x = 190.16 × 98.45
  4. Step 4: Simplify right side
    137.86x = 18,721.25
  5. Step 5: Solve for x
    x = 18,721.25/137.86
  6. Step 6: Final answer
    x = 135.80

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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.