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Finding the Fourth Proportional to 112.84, 155.74 and 83.82

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Solution

The fourth proportional to 112.84, 155.74 and 83.82 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.84 : 155.74 = 83.82 : x
  2. Step 2: Convert to fraction form
    112.84/155.74 = 83.82/x
  3. Step 3: Cross multiply
    112.84x = 155.74 × 83.82
  4. Step 4: Simplify right side
    112.84x = 13,054.13
  5. Step 5: Solve for x
    x = 13,054.13/112.84
  6. Step 6: Final answer
    x = 115.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.