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Finding the Fourth Proportional to 195.14, 292.72 and 65.14

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Solution

The fourth proportional to 195.14, 292.72 and 65.14 is: 97.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.14 : 292.72 = 65.14 : x
  2. Step 2: Convert to fraction form
    195.14/292.72 = 65.14/x
  3. Step 3: Cross multiply
    195.14x = 292.72 × 65.14
  4. Step 4: Simplify right side
    195.14x = 19,066.48
  5. Step 5: Solve for x
    x = 19,066.48/195.14
  6. Step 6: Final answer
    x = 97.71

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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.