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Finding the Fourth Proportional to 155.55, 214.78 and 120.53

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Solution

The fourth proportional to 155.55, 214.78 and 120.53 is: 166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.55 : 214.78 = 120.53 : x
  2. Step 2: Convert to fraction form
    155.55/214.78 = 120.53/x
  3. Step 3: Cross multiply
    155.55x = 214.78 × 120.53
  4. Step 4: Simplify right side
    155.55x = 25,887.43
  5. Step 5: Solve for x
    x = 25,887.43/155.55
  6. Step 6: Final answer
    x = 166.43

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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.