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Finding the Fourth Proportional to 136.88, 189.24 and 105.76

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Solution

The fourth proportional to 136.88, 189.24 and 105.76 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.88 : 189.24 = 105.76 : x
  2. Step 2: Convert to fraction form
    136.88/189.24 = 105.76/x
  3. Step 3: Cross multiply
    136.88x = 189.24 × 105.76
  4. Step 4: Simplify right side
    136.88x = 20,014.02
  5. Step 5: Solve for x
    x = 20,014.02/136.88
  6. Step 6: Final answer
    x = 146.22

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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.