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Finding the Fourth Proportional to 3.97, 5.95 and 1.30

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Solution

The fourth proportional to 3.97, 5.95 and 1.30 is: 1.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.97 : 5.95 = 1.30 : x
  2. Step 2: Convert to fraction form
    3.97/5.95 = 1.30/x
  3. Step 3: Cross multiply
    3.97x = 5.95 × 1.30
  4. Step 4: Simplify right side
    3.97x = 7.72
  5. Step 5: Solve for x
    x = 7.72/3.97
  6. Step 6: Final answer
    x = 1.95

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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.