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Finding the Fourth Proportional to 170.04, 254.71 and 112.12

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Solution

The fourth proportional to 170.04, 254.71 and 112.12 is: 167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.04 : 254.71 = 112.12 : x
  2. Step 2: Convert to fraction form
    170.04/254.71 = 112.12/x
  3. Step 3: Cross multiply
    170.04x = 254.71 × 112.12
  4. Step 4: Simplify right side
    170.04x = 28,558.09
  5. Step 5: Solve for x
    x = 28,558.09/170.04
  6. Step 6: Final answer
    x = 167.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.