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Finding the Fourth Proportional to 170.96, 235.80 and 115.76

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Solution

The fourth proportional to 170.96, 235.80 and 115.76 is: 159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.96 : 235.80 = 115.76 : x
  2. Step 2: Convert to fraction form
    170.96/235.80 = 115.76/x
  3. Step 3: Cross multiply
    170.96x = 235.80 × 115.76
  4. Step 4: Simplify right side
    170.96x = 27,296.21
  5. Step 5: Solve for x
    x = 27,296.21/170.96
  6. Step 6: Final answer
    x = 159.66

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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.