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Finding the Fourth Proportional to 137.16, 189.08 and 84.67

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Solution

The fourth proportional to 137.16, 189.08 and 84.67 is: 116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.16 : 189.08 = 84.67 : x
  2. Step 2: Convert to fraction form
    137.16/189.08 = 84.67/x
  3. Step 3: Cross multiply
    137.16x = 189.08 × 84.67
  4. Step 4: Simplify right side
    137.16x = 16,009.14
  5. Step 5: Solve for x
    x = 16,009.14/137.16
  6. Step 6: Final answer
    x = 116.72

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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.