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Finding the Fourth Proportional to 153.86, 230.58 and 72.63

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Solution

The fourth proportional to 153.86, 230.58 and 72.63 is: 108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.86 : 230.58 = 72.63 : x
  2. Step 2: Convert to fraction form
    153.86/230.58 = 72.63/x
  3. Step 3: Cross multiply
    153.86x = 230.58 × 72.63
  4. Step 4: Simplify right side
    153.86x = 16,747.03
  5. Step 5: Solve for x
    x = 16,747.03/153.86
  6. Step 6: Final answer
    x = 108.85

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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.