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Finding the Fourth Proportional to 230.54, 345.86 and 68.24

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Solution

The fourth proportional to 230.54, 345.86 and 68.24 is: 102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.54 : 345.86 = 68.24 : x
  2. Step 2: Convert to fraction form
    230.54/345.86 = 68.24/x
  3. Step 3: Cross multiply
    230.54x = 345.86 × 68.24
  4. Step 4: Simplify right side
    230.54x = 23,599.76
  5. Step 5: Solve for x
    x = 23,599.76/230.54
  6. Step 6: Final answer
    x = 102.37

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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.