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Finding the Fourth Proportional to 155.74, 214.56 and 109.03

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Solution

The fourth proportional to 155.74, 214.56 and 109.03 is: 150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.74 : 214.56 = 109.03 : x
  2. Step 2: Convert to fraction form
    155.74/214.56 = 109.03/x
  3. Step 3: Cross multiply
    155.74x = 214.56 × 109.03
  4. Step 4: Simplify right side
    155.74x = 23,391.86
  5. Step 5: Solve for x
    x = 23,391.86/155.74
  6. Step 6: Final answer
    x = 150.20

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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.