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Finding the Fourth Proportional to 52.90, 72.94 and 36.54

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Solution

The fourth proportional to 52.90, 72.94 and 36.54 is: 50.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.90 : 72.94 = 36.54 : x
  2. Step 2: Convert to fraction form
    52.90/72.94 = 36.54/x
  3. Step 3: Cross multiply
    52.90x = 72.94 × 36.54
  4. Step 4: Simplify right side
    52.90x = 2,665.23
  5. Step 5: Solve for x
    x = 2,665.23/52.90
  6. Step 6: Final answer
    x = 50.38

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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.