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Finding the Fourth Proportional to 137.76, 189.84 and 98.88

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Solution

The fourth proportional to 137.76, 189.84 and 98.88 is: 136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.76 : 189.84 = 98.88 : x
  2. Step 2: Convert to fraction form
    137.76/189.84 = 98.88/x
  3. Step 3: Cross multiply
    137.76x = 189.84 × 98.88
  4. Step 4: Simplify right side
    137.76x = 18,771.38
  5. Step 5: Solve for x
    x = 18,771.38/137.76
  6. Step 6: Final answer
    x = 136.26

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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.