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Finding the Fourth Proportional to 137.39, 189.56 and 88.19

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Solution

The fourth proportional to 137.39, 189.56 and 88.19 is: 121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.39 : 189.56 = 88.19 : x
  2. Step 2: Convert to fraction form
    137.39/189.56 = 88.19/x
  3. Step 3: Cross multiply
    137.39x = 189.56 × 88.19
  4. Step 4: Simplify right side
    137.39x = 16,715.91
  5. Step 5: Solve for x
    x = 16,715.91/137.39
  6. Step 6: Final answer
    x = 121.67

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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.