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Finding the Fourth Proportional to 171.78, 257.13 and 93.58

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Solution

The fourth proportional to 171.78, 257.13 and 93.58 is: 140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.78 : 257.13 = 93.58 : x
  2. Step 2: Convert to fraction form
    171.78/257.13 = 93.58/x
  3. Step 3: Cross multiply
    171.78x = 257.13 × 93.58
  4. Step 4: Simplify right side
    171.78x = 24,062.23
  5. Step 5: Solve for x
    x = 24,062.23/171.78
  6. Step 6: Final answer
    x = 140.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.