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Finding the Fourth Proportional to 170.66, 235.62 and 105.20

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Solution

The fourth proportional to 170.66, 235.62 and 105.20 is: 145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.66 : 235.62 = 105.20 : x
  2. Step 2: Convert to fraction form
    170.66/235.62 = 105.20/x
  3. Step 3: Cross multiply
    170.66x = 235.62 × 105.20
  4. Step 4: Simplify right side
    170.66x = 24,786.05
  5. Step 5: Solve for x
    x = 24,786.05/170.66
  6. Step 6: Final answer
    x = 145.24

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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.