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Finding the Fourth Proportional to 55, 82.13 and 44.83

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Solution

The fourth proportional to 55, 82.13 and 44.83 is: 66.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55 : 82.13 = 44.83 : x
  2. Step 2: Convert to fraction form
    55/82.13 = 44.83/x
  3. Step 3: Cross multiply
    55x = 82.13 × 44.83
  4. Step 4: Simplify right side
    55x = 3,681.89
  5. Step 5: Solve for x
    x = 3,681.89/55
  6. Step 6: Final answer
    x = 66.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.