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Finding the Fourth Proportional to 128.76, 192.24 and 113.64

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Solution

The fourth proportional to 128.76, 192.24 and 113.64 is: 169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.76 : 192.24 = 113.64 : x
  2. Step 2: Convert to fraction form
    128.76/192.24 = 113.64/x
  3. Step 3: Cross multiply
    128.76x = 192.24 × 113.64
  4. Step 4: Simplify right side
    128.76x = 21,846.15
  5. Step 5: Solve for x
    x = 21,846.15/128.76
  6. Step 6: Final answer
    x = 169.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.