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Finding the Fourth Proportional to 155.42, 233.22 and 125.14

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Solution

The fourth proportional to 155.42, 233.22 and 125.14 is: 187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.42 : 233.22 = 125.14 : x
  2. Step 2: Convert to fraction form
    155.42/233.22 = 125.14/x
  3. Step 3: Cross multiply
    155.42x = 233.22 × 125.14
  4. Step 4: Simplify right side
    155.42x = 29,185.15
  5. Step 5: Solve for x
    x = 29,185.15/155.42
  6. Step 6: Final answer
    x = 187.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.