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Finding the Fourth Proportional to 130.33, 194.54 and 114.13

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Solution

The fourth proportional to 130.33, 194.54 and 114.13 is: 170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.33 : 194.54 = 114.13 : x
  2. Step 2: Convert to fraction form
    130.33/194.54 = 114.13/x
  3. Step 3: Cross multiply
    130.33x = 194.54 × 114.13
  4. Step 4: Simplify right side
    130.33x = 22,202.85
  5. Step 5: Solve for x
    x = 22,202.85/130.33
  6. Step 6: Final answer
    x = 170.36

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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.