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Finding the Fourth Proportional to 171.86, 257.75 and 56.35

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Solution

The fourth proportional to 171.86, 257.75 and 56.35 is: 84.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.86 : 257.75 = 56.35 : x
  2. Step 2: Convert to fraction form
    171.86/257.75 = 56.35/x
  3. Step 3: Cross multiply
    171.86x = 257.75 × 56.35
  4. Step 4: Simplify right side
    171.86x = 14,523.01
  5. Step 5: Solve for x
    x = 14,523.01/171.86
  6. Step 6: Final answer
    x = 84.51

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Why These Related Problems?

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