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Finding the Fourth Proportional to 54.90, 75.33 and 52.34

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Solution

The fourth proportional to 54.90, 75.33 and 52.34 is: 71.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.90 : 75.33 = 52.34 : x
  2. Step 2: Convert to fraction form
    54.90/75.33 = 52.34/x
  3. Step 3: Cross multiply
    54.90x = 75.33 × 52.34
  4. Step 4: Simplify right side
    54.90x = 3,942.77
  5. Step 5: Solve for x
    x = 3,942.77/54.90
  6. Step 6: Final answer
    x = 71.82

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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.