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Finding the Fourth Proportional to 153.86, 230.20 and 102.62

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Solution

The fourth proportional to 153.86, 230.20 and 102.62 is: 153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.86 : 230.20 = 102.62 : x
  2. Step 2: Convert to fraction form
    153.86/230.20 = 102.62/x
  3. Step 3: Cross multiply
    153.86x = 230.20 × 102.62
  4. Step 4: Simplify right side
    153.86x = 23,623.12
  5. Step 5: Solve for x
    x = 23,623.12/153.86
  6. Step 6: Final answer
    x = 153.54

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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.