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Finding the Fourth Proportional to 52.80, 72.72 and 47.22

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Solution

The fourth proportional to 52.80, 72.72 and 47.22 is: 65.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.80 : 72.72 = 47.22 : x
  2. Step 2: Convert to fraction form
    52.80/72.72 = 47.22/x
  3. Step 3: Cross multiply
    52.80x = 72.72 × 47.22
  4. Step 4: Simplify right side
    52.80x = 3,433.84
  5. Step 5: Solve for x
    x = 3,433.84/52.80
  6. Step 6: Final answer
    x = 65.03

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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.