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Finding the Fourth Proportional to 112.83, 155.64 and 85.17

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Solution

The fourth proportional to 112.83, 155.64 and 85.17 is: 117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.83 : 155.64 = 85.17 : x
  2. Step 2: Convert to fraction form
    112.83/155.64 = 85.17/x
  3. Step 3: Cross multiply
    112.83x = 155.64 × 85.17
  4. Step 4: Simplify right side
    112.83x = 13,255.86
  5. Step 5: Solve for x
    x = 13,255.86/112.83
  6. Step 6: Final answer
    x = 117.49

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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.