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Finding the Fourth Proportional to 170.78, 235.49 and 105.24

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Solution

The fourth proportional to 170.78, 235.49 and 105.24 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.78 : 235.49 = 105.24 : x
  2. Step 2: Convert to fraction form
    170.78/235.49 = 105.24/x
  3. Step 3: Cross multiply
    170.78x = 235.49 × 105.24
  4. Step 4: Simplify right side
    170.78x = 24,782.44
  5. Step 5: Solve for x
    x = 24,782.44/170.78
  6. Step 6: Final answer
    x = 145.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.