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Finding the Fourth Proportional to 130.62, 195.00 and 110.12

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Solution

The fourth proportional to 130.62, 195.00 and 110.12 is: 164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.62 : 195.00 = 110.12 : x
  2. Step 2: Convert to fraction form
    130.62/195.00 = 110.12/x
  3. Step 3: Cross multiply
    130.62x = 195.00 × 110.12
  4. Step 4: Simplify right side
    130.62x = 21,472.63
  5. Step 5: Solve for x
    x = 21,472.63/130.62
  6. Step 6: Final answer
    x = 164.39

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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.