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Finding the Fourth Proportional to 96.22, 144.42 and 90.23

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Solution

The fourth proportional to 96.22, 144.42 and 90.23 is: 135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.22 : 144.42 = 90.23 : x
  2. Step 2: Convert to fraction form
    96.22/144.42 = 90.23/x
  3. Step 3: Cross multiply
    96.22x = 144.42 × 90.23
  4. Step 4: Simplify right side
    96.22x = 13,030.77
  5. Step 5: Solve for x
    x = 13,030.77/96.22
  6. Step 6: Final answer
    x = 135.43

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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.