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Finding the Fourth Proportional to 155.90, 215.10 and 106.82

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Solution

The fourth proportional to 155.90, 215.10 and 106.82 is: 147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.90 : 215.10 = 106.82 : x
  2. Step 2: Convert to fraction form
    155.90/215.10 = 106.82/x
  3. Step 3: Cross multiply
    155.90x = 215.10 × 106.82
  4. Step 4: Simplify right side
    155.90x = 22,976.98
  5. Step 5: Solve for x
    x = 22,976.98/155.90
  6. Step 6: Final answer
    x = 147.38

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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.