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Finding the Fourth Proportional to 170.23, 234.81 and 112.02

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Solution

The fourth proportional to 170.23, 234.81 and 112.02 is: 154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.23 : 234.81 = 112.02 : x
  2. Step 2: Convert to fraction form
    170.23/234.81 = 112.02/x
  3. Step 3: Cross multiply
    170.23x = 234.81 × 112.02
  4. Step 4: Simplify right side
    170.23x = 26,303.42
  5. Step 5: Solve for x
    x = 26,303.42/170.23
  6. Step 6: Final answer
    x = 154.52

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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.