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Finding the Fourth Proportional to 137.54, 189.84 and 88.46

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Solution

The fourth proportional to 137.54, 189.84 and 88.46 is: 122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.54 : 189.84 = 88.46 : x
  2. Step 2: Convert to fraction form
    137.54/189.84 = 88.46/x
  3. Step 3: Cross multiply
    137.54x = 189.84 × 88.46
  4. Step 4: Simplify right side
    137.54x = 16,793.25
  5. Step 5: Solve for x
    x = 16,793.25/137.54
  6. Step 6: Final answer
    x = 122.10

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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.