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Finding the Fourth Proportional to 55.12, 82.72 and 23.06

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Solution

The fourth proportional to 55.12, 82.72 and 23.06 is: 34.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.12 : 82.72 = 23.06 : x
  2. Step 2: Convert to fraction form
    55.12/82.72 = 23.06/x
  3. Step 3: Cross multiply
    55.12x = 82.72 × 23.06
  4. Step 4: Simplify right side
    55.12x = 1,907.52
  5. Step 5: Solve for x
    x = 1,907.52/55.12
  6. Step 6: Final answer
    x = 34.61

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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.