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Finding the Fourth Proportional to 130.16, 194.86 and 114.16

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Solution

The fourth proportional to 130.16, 194.86 and 114.16 is: 170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.16 : 194.86 = 114.16 : x
  2. Step 2: Convert to fraction form
    130.16/194.86 = 114.16/x
  3. Step 3: Cross multiply
    130.16x = 194.86 × 114.16
  4. Step 4: Simplify right side
    130.16x = 22,245.22
  5. Step 5: Solve for x
    x = 22,245.22/130.16
  6. Step 6: Final answer
    x = 170.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.