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Finding the Fourth Proportional to 55.07, 82.70 and 51.83

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Solution

The fourth proportional to 55.07, 82.70 and 51.83 is: 77.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.07 : 82.70 = 51.83 : x
  2. Step 2: Convert to fraction form
    55.07/82.70 = 51.83/x
  3. Step 3: Cross multiply
    55.07x = 82.70 × 51.83
  4. Step 4: Simplify right side
    55.07x = 4,286.34
  5. Step 5: Solve for x
    x = 4,286.34/55.07
  6. Step 6: Final answer
    x = 77.83

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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.