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Finding the Fourth Proportional to 130.13, 196.42 and 130.13

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Solution

The fourth proportional to 130.13, 196.42 and 130.13 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.13 : 196.42 = 130.13 : x
  2. Step 2: Convert to fraction form
    130.13/196.42 = 130.13/x
  3. Step 3: Cross multiply
    130.13x = 196.42 × 130.13
  4. Step 4: Simplify right side
    130.13x = 25,561.03
  5. Step 5: Solve for x
    x = 25,561.03/130.13
  6. Step 6: Final answer
    x = 196.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.