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Finding the Fourth Proportional to 170.74, 256.16 and 68.07

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Solution

The fourth proportional to 170.74, 256.16 and 68.07 is: 102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.74 : 256.16 = 68.07 : x
  2. Step 2: Convert to fraction form
    170.74/256.16 = 68.07/x
  3. Step 3: Cross multiply
    170.74x = 256.16 × 68.07
  4. Step 4: Simplify right side
    170.74x = 17,437.94
  5. Step 5: Solve for x
    x = 17,437.94/170.74
  6. Step 6: Final answer
    x = 102.13

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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.