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Finding the Fourth Proportional to 170.72, 235.80 and 131.84

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Solution

The fourth proportional to 170.72, 235.80 and 131.84 is: 182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.72 : 235.80 = 131.84 : x
  2. Step 2: Convert to fraction form
    170.72/235.80 = 131.84/x
  3. Step 3: Cross multiply
    170.72x = 235.80 × 131.84
  4. Step 4: Simplify right side
    170.72x = 31,087.87
  5. Step 5: Solve for x
    x = 31,087.87/170.72
  6. Step 6: Final answer
    x = 182.10

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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.