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Finding the Fourth Proportional to 155.25, 232.77 and 74.01

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Solution

The fourth proportional to 155.25, 232.77 and 74.01 is: 110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.25 : 232.77 = 74.01 : x
  2. Step 2: Convert to fraction form
    155.25/232.77 = 74.01/x
  3. Step 3: Cross multiply
    155.25x = 232.77 × 74.01
  4. Step 4: Simplify right side
    155.25x = 17,227.31
  5. Step 5: Solve for x
    x = 17,227.31/155.25
  6. Step 6: Final answer
    x = 110.96

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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.