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Finding the Fourth Proportional to 106.73, 147.32 and 90.44

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Solution

The fourth proportional to 106.73, 147.32 and 90.44 is: 124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.73 : 147.32 = 90.44 : x
  2. Step 2: Convert to fraction form
    106.73/147.32 = 90.44/x
  3. Step 3: Cross multiply
    106.73x = 147.32 × 90.44
  4. Step 4: Simplify right side
    106.73x = 13,323.62
  5. Step 5: Solve for x
    x = 13,323.62/106.73
  6. Step 6: Final answer
    x = 124.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.