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Finding the Fourth Proportional to 170.45, 235.34 and 115.23

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Solution

The fourth proportional to 170.45, 235.34 and 115.23 is: 159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.45 : 235.34 = 115.23 : x
  2. Step 2: Convert to fraction form
    170.45/235.34 = 115.23/x
  3. Step 3: Cross multiply
    170.45x = 235.34 × 115.23
  4. Step 4: Simplify right side
    170.45x = 27,118.97
  5. Step 5: Solve for x
    x = 27,118.97/170.45
  6. Step 6: Final answer
    x = 159.10

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Why These Related Problems?

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