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Finding the Fourth Proportional to 128.52, 191.64 and 114.16

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Solution

The fourth proportional to 128.52, 191.64 and 114.16 is: 170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.52 : 191.64 = 114.16 : x
  2. Step 2: Convert to fraction form
    128.52/191.64 = 114.16/x
  3. Step 3: Cross multiply
    128.52x = 191.64 × 114.16
  4. Step 4: Simplify right side
    128.52x = 21,877.62
  5. Step 5: Solve for x
    x = 21,877.62/128.52
  6. Step 6: Final answer
    x = 170.23

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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.