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Finding the Fourth Proportional to 55.83, 77.05 and 41.99

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Solution

The fourth proportional to 55.83, 77.05 and 41.99 is: 57.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.83 : 77.05 = 41.99 : x
  2. Step 2: Convert to fraction form
    55.83/77.05 = 41.99/x
  3. Step 3: Cross multiply
    55.83x = 77.05 × 41.99
  4. Step 4: Simplify right side
    55.83x = 3,235.33
  5. Step 5: Solve for x
    x = 3,235.33/55.83
  6. Step 6: Final answer
    x = 57.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.