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Finding the Fourth Proportional to 155.77, 233.55 and 100.96

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Solution

The fourth proportional to 155.77, 233.55 and 100.96 is: 151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.77 : 233.55 = 100.96 : x
  2. Step 2: Convert to fraction form
    155.77/233.55 = 100.96/x
  3. Step 3: Cross multiply
    155.77x = 233.55 × 100.96
  4. Step 4: Simplify right side
    155.77x = 23,578.62
  5. Step 5: Solve for x
    x = 23,578.62/155.77
  6. Step 6: Final answer
    x = 151.37

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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.