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Finding the Fourth Proportional to 170.02, 254.85 and 92.95

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Solution

The fourth proportional to 170.02, 254.85 and 92.95 is: 139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.02 : 254.85 = 92.95 : x
  2. Step 2: Convert to fraction form
    170.02/254.85 = 92.95/x
  3. Step 3: Cross multiply
    170.02x = 254.85 × 92.95
  4. Step 4: Simplify right side
    170.02x = 23,687.32
  5. Step 5: Solve for x
    x = 23,687.32/170.02
  6. Step 6: Final answer
    x = 139.32

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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.