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Finding the Fourth Proportional to 112.83, 155.69 and 69.16

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Solution

The fourth proportional to 112.83, 155.69 and 69.16 is: 95.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.83 : 155.69 = 69.16 : x
  2. Step 2: Convert to fraction form
    112.83/155.69 = 69.16/x
  3. Step 3: Cross multiply
    112.83x = 155.69 × 69.16
  4. Step 4: Simplify right side
    112.83x = 10,767.52
  5. Step 5: Solve for x
    x = 10,767.52/112.83
  6. Step 6: Final answer
    x = 95.43

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