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Finding the Fourth Proportional to 55.19, 82.66 and 28.08

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Solution

The fourth proportional to 55.19, 82.66 and 28.08 is: 42.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.19 : 82.66 = 28.08 : x
  2. Step 2: Convert to fraction form
    55.19/82.66 = 28.08/x
  3. Step 3: Cross multiply
    55.19x = 82.66 × 28.08
  4. Step 4: Simplify right side
    55.19x = 2,321.09
  5. Step 5: Solve for x
    x = 2,321.09/55.19
  6. Step 6: Final answer
    x = 42.06

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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.