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Finding the Fourth Proportional to 155.82, 233.18 and 107.13

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Solution

The fourth proportional to 155.82, 233.18 and 107.13 is: 160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.82 : 233.18 = 107.13 : x
  2. Step 2: Convert to fraction form
    155.82/233.18 = 107.13/x
  3. Step 3: Cross multiply
    155.82x = 233.18 × 107.13
  4. Step 4: Simplify right side
    155.82x = 24,980.57
  5. Step 5: Solve for x
    x = 24,980.57/155.82
  6. Step 6: Final answer
    x = 160.32

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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.