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Finding the Fourth Proportional to 130.90, 196.16 and 69.91

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Solution

The fourth proportional to 130.90, 196.16 and 69.91 is: 104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.90 : 196.16 = 69.91 : x
  2. Step 2: Convert to fraction form
    130.90/196.16 = 69.91/x
  3. Step 3: Cross multiply
    130.90x = 196.16 × 69.91
  4. Step 4: Simplify right side
    130.90x = 13,713.55
  5. Step 5: Solve for x
    x = 13,713.55/130.90
  6. Step 6: Final answer
    x = 104.76

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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.