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Finding the Fourth Proportional to 130.69, 195.91 and 89.98

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Solution

The fourth proportional to 130.69, 195.91 and 89.98 is: 134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.69 : 195.91 = 89.98 : x
  2. Step 2: Convert to fraction form
    130.69/195.91 = 89.98/x
  3. Step 3: Cross multiply
    130.69x = 195.91 × 89.98
  4. Step 4: Simplify right side
    130.69x = 17,627.98
  5. Step 5: Solve for x
    x = 17,627.98/130.69
  6. Step 6: Final answer
    x = 134.88

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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.