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Finding the Fourth Proportional to 130.20, 194.16 and 107.16

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Solution

The fourth proportional to 130.20, 194.16 and 107.16 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.20 : 194.16 = 107.16 : x
  2. Step 2: Convert to fraction form
    130.20/194.16 = 107.16/x
  3. Step 3: Cross multiply
    130.20x = 194.16 × 107.16
  4. Step 4: Simplify right side
    130.20x = 20,806.19
  5. Step 5: Solve for x
    x = 20,806.19/130.20
  6. Step 6: Final answer
    x = 159.80

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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.