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Finding the Fourth Proportional to 55.09, 82.63 and 26.19

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Solution

The fourth proportional to 55.09, 82.63 and 26.19 is: 39.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.09 : 82.63 = 26.19 : x
  2. Step 2: Convert to fraction form
    55.09/82.63 = 26.19/x
  3. Step 3: Cross multiply
    55.09x = 82.63 × 26.19
  4. Step 4: Simplify right side
    55.09x = 2,164.08
  5. Step 5: Solve for x
    x = 2,164.08/55.09
  6. Step 6: Final answer
    x = 39.28

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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.