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Finding the Fourth Proportional to 170.30, 235.13 and 107.31

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Solution

The fourth proportional to 170.30, 235.13 and 107.31 is: 148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.30 : 235.13 = 107.31 : x
  2. Step 2: Convert to fraction form
    170.30/235.13 = 107.31/x
  3. Step 3: Cross multiply
    170.30x = 235.13 × 107.31
  4. Step 4: Simplify right side
    170.30x = 25,231.80
  5. Step 5: Solve for x
    x = 25,231.80/170.30
  6. Step 6: Final answer
    x = 148.16

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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.