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Finding the Fourth Proportional to 155.91, 233.81 and 77.82

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Solution

The fourth proportional to 155.91, 233.81 and 77.82 is: 116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.91 : 233.81 = 77.82 : x
  2. Step 2: Convert to fraction form
    155.91/233.81 = 77.82/x
  3. Step 3: Cross multiply
    155.91x = 233.81 × 77.82
  4. Step 4: Simplify right side
    155.91x = 18,194.71
  5. Step 5: Solve for x
    x = 18,194.71/155.91
  6. Step 6: Final answer
    x = 116.70

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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.