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Finding the Fourth Proportional to 54.99, 82.77 and 39.87

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Solution

The fourth proportional to 54.99, 82.77 and 39.87 is: 60.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.99 : 82.77 = 39.87 : x
  2. Step 2: Convert to fraction form
    54.99/82.77 = 39.87/x
  3. Step 3: Cross multiply
    54.99x = 82.77 × 39.87
  4. Step 4: Simplify right side
    54.99x = 3,300.04
  5. Step 5: Solve for x
    x = 3,300.04/54.99
  6. Step 6: Final answer
    x = 60.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.