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Finding the Fourth Proportional to 170.24, 235.06 and 115.08

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Solution

The fourth proportional to 170.24, 235.06 and 115.08 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.24 : 235.06 = 115.08 : x
  2. Step 2: Convert to fraction form
    170.24/235.06 = 115.08/x
  3. Step 3: Cross multiply
    170.24x = 235.06 × 115.08
  4. Step 4: Simplify right side
    170.24x = 27,050.70
  5. Step 5: Solve for x
    x = 27,050.70/170.24
  6. Step 6: Final answer
    x = 158.90

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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.