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Finding the Fourth Proportional to 130.83, 194.85 and 129.24

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Solution

The fourth proportional to 130.83, 194.85 and 129.24 is: 192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.83 : 194.85 = 129.24 : x
  2. Step 2: Convert to fraction form
    130.83/194.85 = 129.24/x
  3. Step 3: Cross multiply
    130.83x = 194.85 × 129.24
  4. Step 4: Simplify right side
    130.83x = 25,182.41
  5. Step 5: Solve for x
    x = 25,182.41/130.83
  6. Step 6: Final answer
    x = 192.48

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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.