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Finding the Fourth Proportional to 130.38, 194.52 and 110.14

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Solution

The fourth proportional to 130.38, 194.52 and 110.14 is: 164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.38 : 194.52 = 110.14 : x
  2. Step 2: Convert to fraction form
    130.38/194.52 = 110.14/x
  3. Step 3: Cross multiply
    130.38x = 194.52 × 110.14
  4. Step 4: Simplify right side
    130.38x = 21,424.43
  5. Step 5: Solve for x
    x = 21,424.43/130.38
  6. Step 6: Final answer
    x = 164.32

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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.