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Finding the Fourth Proportional to 131.60, 196.02 and 130.16

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Solution

The fourth proportional to 131.60, 196.02 and 130.16 is: 193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.60 : 196.02 = 130.16 : x
  2. Step 2: Convert to fraction form
    131.60/196.02 = 130.16/x
  3. Step 3: Cross multiply
    131.60x = 196.02 × 130.16
  4. Step 4: Simplify right side
    131.60x = 25,513.96
  5. Step 5: Solve for x
    x = 25,513.96/131.60
  6. Step 6: Final answer
    x = 193.88

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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.