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Finding the Fourth Proportional to 52.89, 73.02 and 36.30

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Solution

The fourth proportional to 52.89, 73.02 and 36.30 is: 50.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.89 : 73.02 = 36.30 : x
  2. Step 2: Convert to fraction form
    52.89/73.02 = 36.30/x
  3. Step 3: Cross multiply
    52.89x = 73.02 × 36.30
  4. Step 4: Simplify right side
    52.89x = 2,650.63
  5. Step 5: Solve for x
    x = 2,650.63/52.89
  6. Step 6: Final answer
    x = 50.12

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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.