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Finding the Fourth Proportional to 131.16, 195.71 and 130.40

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Solution

The fourth proportional to 131.16, 195.71 and 130.40 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 195.71 = 130.40 : x
  2. Step 2: Convert to fraction form
    131.16/195.71 = 130.40/x
  3. Step 3: Cross multiply
    131.16x = 195.71 × 130.40
  4. Step 4: Simplify right side
    131.16x = 25,520.58
  5. Step 5: Solve for x
    x = 25,520.58/131.16
  6. Step 6: Final answer
    x = 194.58

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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.