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Finding the Fourth Proportional to 170.71, 256.06 and 102.26

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Solution

The fourth proportional to 170.71, 256.06 and 102.26 is: 153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.71 : 256.06 = 102.26 : x
  2. Step 2: Convert to fraction form
    170.71/256.06 = 102.26/x
  3. Step 3: Cross multiply
    170.71x = 256.06 × 102.26
  4. Step 4: Simplify right side
    170.71x = 26,185.46
  5. Step 5: Solve for x
    x = 26,185.46/170.71
  6. Step 6: Final answer
    x = 153.39

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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.