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Finding the Fourth Proportional to 54.49, 75.13 and 36.99

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Solution

The fourth proportional to 54.49, 75.13 and 36.99 is: 51.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.49 : 75.13 = 36.99 : x
  2. Step 2: Convert to fraction form
    54.49/75.13 = 36.99/x
  3. Step 3: Cross multiply
    54.49x = 75.13 × 36.99
  4. Step 4: Simplify right side
    54.49x = 2,779.06
  5. Step 5: Solve for x
    x = 2,779.06/54.49
  6. Step 6: Final answer
    x = 51.00

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Why These Related Problems?

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