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Finding the Fourth Proportional to 55.92, 83.90 and 49.95

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Solution

The fourth proportional to 55.92, 83.90 and 49.95 is: 74.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.92 : 83.90 = 49.95 : x
  2. Step 2: Convert to fraction form
    55.92/83.90 = 49.95/x
  3. Step 3: Cross multiply
    55.92x = 83.90 × 49.95
  4. Step 4: Simplify right side
    55.92x = 4,190.81
  5. Step 5: Solve for x
    x = 4,190.81/55.92
  6. Step 6: Final answer
    x = 74.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.