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Finding the Fourth Proportional to 137.60, 189.78 and 98.25

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Solution

The fourth proportional to 137.60, 189.78 and 98.25 is: 135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.60 : 189.78 = 98.25 : x
  2. Step 2: Convert to fraction form
    137.60/189.78 = 98.25/x
  3. Step 3: Cross multiply
    137.60x = 189.78 × 98.25
  4. Step 4: Simplify right side
    137.60x = 18,645.89
  5. Step 5: Solve for x
    x = 18,645.89/137.60
  6. Step 6: Final answer
    x = 135.51

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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.