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Finding the Fourth Proportional to 170.94, 235.94 and 112.70

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Solution

The fourth proportional to 170.94, 235.94 and 112.70 is: 155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 235.94 = 112.70 : x
  2. Step 2: Convert to fraction form
    170.94/235.94 = 112.70/x
  3. Step 3: Cross multiply
    170.94x = 235.94 × 112.70
  4. Step 4: Simplify right side
    170.94x = 26,588.69
  5. Step 5: Solve for x
    x = 26,588.69/170.94
  6. Step 6: Final answer
    x = 155.54

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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.