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Finding the Fourth Proportional to 155.38, 214.32 and 106.28

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Solution

The fourth proportional to 155.38, 214.32 and 106.28 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.38 : 214.32 = 106.28 : x
  2. Step 2: Convert to fraction form
    155.38/214.32 = 106.28/x
  3. Step 3: Cross multiply
    155.38x = 214.32 × 106.28
  4. Step 4: Simplify right side
    155.38x = 22,777.93
  5. Step 5: Solve for x
    x = 22,777.93/155.38
  6. Step 6: Final answer
    x = 146.59

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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.