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Finding the Fourth Proportional to 155.43, 233.33 and 109.71

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Solution

The fourth proportional to 155.43, 233.33 and 109.71 is: 164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.43 : 233.33 = 109.71 : x
  2. Step 2: Convert to fraction form
    155.43/233.33 = 109.71/x
  3. Step 3: Cross multiply
    155.43x = 233.33 × 109.71
  4. Step 4: Simplify right side
    155.43x = 25,598.09
  5. Step 5: Solve for x
    x = 25,598.09/155.43
  6. Step 6: Final answer
    x = 164.69

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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.