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Finding the Fourth Proportional to 54.83, 75.65 and 41.06

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Solution

The fourth proportional to 54.83, 75.65 and 41.06 is: 56.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.83 : 75.65 = 41.06 : x
  2. Step 2: Convert to fraction form
    54.83/75.65 = 41.06/x
  3. Step 3: Cross multiply
    54.83x = 75.65 × 41.06
  4. Step 4: Simplify right side
    54.83x = 3,105.61
  5. Step 5: Solve for x
    x = 3,105.61/54.83
  6. Step 6: Final answer
    x = 56.65

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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.