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Finding the Fourth Proportional to 137.36, 189.51 and 88.28

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Solution

The fourth proportional to 137.36, 189.51 and 88.28 is: 121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.36 : 189.51 = 88.28 : x
  2. Step 2: Convert to fraction form
    137.36/189.51 = 88.28/x
  3. Step 3: Cross multiply
    137.36x = 189.51 × 88.28
  4. Step 4: Simplify right side
    137.36x = 16,729.94
  5. Step 5: Solve for x
    x = 16,729.94/137.36
  6. Step 6: Final answer
    x = 121.80

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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.