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Finding the Fourth Proportional to 155.78, 215.04 and 109.22

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Solution

The fourth proportional to 155.78, 215.04 and 109.22 is: 150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.78 : 215.04 = 109.22 : x
  2. Step 2: Convert to fraction form
    155.78/215.04 = 109.22/x
  3. Step 3: Cross multiply
    155.78x = 215.04 × 109.22
  4. Step 4: Simplify right side
    155.78x = 23,486.67
  5. Step 5: Solve for x
    x = 23,486.67/155.78
  6. Step 6: Final answer
    x = 150.77

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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.