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Finding the Fourth Proportional to 171.84, 257.60 and 120.54

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Solution

The fourth proportional to 171.84, 257.60 and 120.54 is: 180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.84 : 257.60 = 120.54 : x
  2. Step 2: Convert to fraction form
    171.84/257.60 = 120.54/x
  3. Step 3: Cross multiply
    171.84x = 257.60 × 120.54
  4. Step 4: Simplify right side
    171.84x = 31,051.10
  5. Step 5: Solve for x
    x = 31,051.10/171.84
  6. Step 6: Final answer
    x = 180.70

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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.