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Finding the Fourth Proportional to 170.69, 256.03 and 42.44

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Solution

The fourth proportional to 170.69, 256.03 and 42.44 is: 63.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.69 : 256.03 = 42.44 : x
  2. Step 2: Convert to fraction form
    170.69/256.03 = 42.44/x
  3. Step 3: Cross multiply
    170.69x = 256.03 × 42.44
  4. Step 4: Simplify right side
    170.69x = 10,865.38
  5. Step 5: Solve for x
    x = 10,865.38/170.69
  6. Step 6: Final answer
    x = 63.66

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