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Finding the Fourth Proportional to 155.44, 233.21 and 106.23

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Solution

The fourth proportional to 155.44, 233.21 and 106.23 is: 159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.44 : 233.21 = 106.23 : x
  2. Step 2: Convert to fraction form
    155.44/233.21 = 106.23/x
  3. Step 3: Cross multiply
    155.44x = 233.21 × 106.23
  4. Step 4: Simplify right side
    155.44x = 24,775.04
  5. Step 5: Solve for x
    x = 24,775.04/155.44
  6. Step 6: Final answer
    x = 159.39

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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.