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Finding the Fourth Proportional to 55.67, 83.43 and 44.19

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Solution

The fourth proportional to 55.67, 83.43 and 44.19 is: 66.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.67 : 83.43 = 44.19 : x
  2. Step 2: Convert to fraction form
    55.67/83.43 = 44.19/x
  3. Step 3: Cross multiply
    55.67x = 83.43 × 44.19
  4. Step 4: Simplify right side
    55.67x = 3,686.77
  5. Step 5: Solve for x
    x = 3,686.77/55.67
  6. Step 6: Final answer
    x = 66.23

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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.