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Finding the Fourth Proportional to 112.71, 170.25 and 112.71

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Solution

The fourth proportional to 112.71, 170.25 and 112.71 is: 170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.71 : 170.25 = 112.71 : x
  2. Step 2: Convert to fraction form
    112.71/170.25 = 112.71/x
  3. Step 3: Cross multiply
    112.71x = 170.25 × 112.71
  4. Step 4: Simplify right side
    112.71x = 19,188.88
  5. Step 5: Solve for x
    x = 19,188.88/112.71
  6. Step 6: Final answer
    x = 170.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.