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Finding the Fourth Proportional to 54.83, 75.34 and 52.45

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Solution

The fourth proportional to 54.83, 75.34 and 52.45 is: 72.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.83 : 75.34 = 52.45 : x
  2. Step 2: Convert to fraction form
    54.83/75.34 = 52.45/x
  3. Step 3: Cross multiply
    54.83x = 75.34 × 52.45
  4. Step 4: Simplify right side
    54.83x = 3,950.94
  5. Step 5: Solve for x
    x = 3,950.94/54.83
  6. Step 6: Final answer
    x = 72.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.