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Finding the Fourth Proportional to 137.28, 189.54 and 88.22

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Solution

The fourth proportional to 137.28, 189.54 and 88.22 is: 121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.28 : 189.54 = 88.22 : x
  2. Step 2: Convert to fraction form
    137.28/189.54 = 88.22/x
  3. Step 3: Cross multiply
    137.28x = 189.54 × 88.22
  4. Step 4: Simplify right side
    137.28x = 16,721.22
  5. Step 5: Solve for x
    x = 16,721.22/137.28
  6. Step 6: Final answer
    x = 121.80

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Why These Related Problems?

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