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Finding the Fourth Proportional to 130.57, 194.77 and 120.88

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Solution

The fourth proportional to 130.57, 194.77 and 120.88 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.57 : 194.77 = 120.88 : x
  2. Step 2: Convert to fraction form
    130.57/194.77 = 120.88/x
  3. Step 3: Cross multiply
    130.57x = 194.77 × 120.88
  4. Step 4: Simplify right side
    130.57x = 23,543.80
  5. Step 5: Solve for x
    x = 23,543.80/130.57
  6. Step 6: Final answer
    x = 180.32

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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.