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Finding the Fourth Proportional to 54.75, 75.53 and 41.00

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Solution

The fourth proportional to 54.75, 75.53 and 41.00 is: 56.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 75.53 = 41.00 : x
  2. Step 2: Convert to fraction form
    54.75/75.53 = 41.00/x
  3. Step 3: Cross multiply
    54.75x = 75.53 × 41.00
  4. Step 4: Simplify right side
    54.75x = 3,097.02
  5. Step 5: Solve for x
    x = 3,097.02/54.75
  6. Step 6: Final answer
    x = 56.57

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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.