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Finding the Fourth Proportional to 170.77, 256.14 and 73.23

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Solution

The fourth proportional to 170.77, 256.14 and 73.23 is: 109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.77 : 256.14 = 73.23 : x
  2. Step 2: Convert to fraction form
    170.77/256.14 = 73.23/x
  3. Step 3: Cross multiply
    170.77x = 256.14 × 73.23
  4. Step 4: Simplify right side
    170.77x = 18,757.13
  5. Step 5: Solve for x
    x = 18,757.13/170.77
  6. Step 6: Final answer
    x = 109.84

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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.