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Finding the Fourth Proportional to 55.99, 84.07 and 49.28

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Solution

The fourth proportional to 55.99, 84.07 and 49.28 is: 74.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.99 : 84.07 = 49.28 : x
  2. Step 2: Convert to fraction form
    55.99/84.07 = 49.28/x
  3. Step 3: Cross multiply
    55.99x = 84.07 × 49.28
  4. Step 4: Simplify right side
    55.99x = 4,142.97
  5. Step 5: Solve for x
    x = 4,142.97/55.99
  6. Step 6: Final answer
    x = 74.00

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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.