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Finding the Fourth Proportional to 230.07, 345.12 and 83.86

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Solution

The fourth proportional to 230.07, 345.12 and 83.86 is: 125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.07 : 345.12 = 83.86 : x
  2. Step 2: Convert to fraction form
    230.07/345.12 = 83.86/x
  3. Step 3: Cross multiply
    230.07x = 345.12 × 83.86
  4. Step 4: Simplify right side
    230.07x = 28,941.65
  5. Step 5: Solve for x
    x = 28,941.65/230.07
  6. Step 6: Final answer
    x = 125.79

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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.