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Finding the Fourth Proportional to 171.02, 235.82 and 115.70

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Solution

The fourth proportional to 171.02, 235.82 and 115.70 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.02 : 235.82 = 115.70 : x
  2. Step 2: Convert to fraction form
    171.02/235.82 = 115.70/x
  3. Step 3: Cross multiply
    171.02x = 235.82 × 115.70
  4. Step 4: Simplify right side
    171.02x = 27,284.37
  5. Step 5: Solve for x
    x = 27,284.37/171.02
  6. Step 6: Final answer
    x = 159.54

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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.