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Finding the Fourth Proportional to 55.15, 82.74 and 19.09

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Solution

The fourth proportional to 55.15, 82.74 and 19.09 is: 28.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.15 : 82.74 = 19.09 : x
  2. Step 2: Convert to fraction form
    55.15/82.74 = 19.09/x
  3. Step 3: Cross multiply
    55.15x = 82.74 × 19.09
  4. Step 4: Simplify right side
    55.15x = 1,579.51
  5. Step 5: Solve for x
    x = 1,579.51/55.15
  6. Step 6: Final answer
    x = 28.64

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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.