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Finding the Fourth Proportional to 155.77, 233.24 and 110.05

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Solution

The fourth proportional to 155.77, 233.24 and 110.05 is: 164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.77 : 233.24 = 110.05 : x
  2. Step 2: Convert to fraction form
    155.77/233.24 = 110.05/x
  3. Step 3: Cross multiply
    155.77x = 233.24 × 110.05
  4. Step 4: Simplify right side
    155.77x = 25,666.93
  5. Step 5: Solve for x
    x = 25,666.93/155.77
  6. Step 6: Final answer
    x = 164.78

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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.