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Finding the Fourth Proportional to 130.78, 196.02 and 90.22

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Solution

The fourth proportional to 130.78, 196.02 and 90.22 is: 135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 196.02 = 90.22 : x
  2. Step 2: Convert to fraction form
    130.78/196.02 = 90.22/x
  3. Step 3: Cross multiply
    130.78x = 196.02 × 90.22
  4. Step 4: Simplify right side
    130.78x = 17,684.92
  5. Step 5: Solve for x
    x = 17,684.92/130.78
  6. Step 6: Final answer
    x = 135.23

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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.