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Finding the Fourth Proportional to 171.03, 235.92 and 115.77

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Solution

The fourth proportional to 171.03, 235.92 and 115.77 is: 159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.03 : 235.92 = 115.77 : x
  2. Step 2: Convert to fraction form
    171.03/235.92 = 115.77/x
  3. Step 3: Cross multiply
    171.03x = 235.92 × 115.77
  4. Step 4: Simplify right side
    171.03x = 27,312.46
  5. Step 5: Solve for x
    x = 27,312.46/171.03
  6. Step 6: Final answer
    x = 159.69

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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.