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Finding the Fourth Proportional to 128.64, 191.83 and 114.63

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Solution

The fourth proportional to 128.64, 191.83 and 114.63 is: 170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.64 : 191.83 = 114.63 : x
  2. Step 2: Convert to fraction form
    128.64/191.83 = 114.63/x
  3. Step 3: Cross multiply
    128.64x = 191.83 × 114.63
  4. Step 4: Simplify right side
    128.64x = 21,989.47
  5. Step 5: Solve for x
    x = 21,989.47/128.64
  6. Step 6: Final answer
    x = 170.94

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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.