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Finding the Fourth Proportional to 155.38, 214.30 and 106.18

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Solution

The fourth proportional to 155.38, 214.30 and 106.18 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.38 : 214.30 = 106.18 : x
  2. Step 2: Convert to fraction form
    155.38/214.30 = 106.18/x
  3. Step 3: Cross multiply
    155.38x = 214.30 × 106.18
  4. Step 4: Simplify right side
    155.38x = 22,754.37
  5. Step 5: Solve for x
    x = 22,754.37/155.38
  6. Step 6: Final answer
    x = 146.44

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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.