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Finding the Fourth Proportional to 130.68, 194.85 and 111.51

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Solution

The fourth proportional to 130.68, 194.85 and 111.51 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.68 : 194.85 = 111.51 : x
  2. Step 2: Convert to fraction form
    130.68/194.85 = 111.51/x
  3. Step 3: Cross multiply
    130.68x = 194.85 × 111.51
  4. Step 4: Simplify right side
    130.68x = 21,727.72
  5. Step 5: Solve for x
    x = 21,727.72/130.68
  6. Step 6: Final answer
    x = 166.27

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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.