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Finding the Fourth Proportional to 52.63, 72.61 and 34.23

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Solution

The fourth proportional to 52.63, 72.61 and 34.23 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.63 : 72.61 = 34.23 : x
  2. Step 2: Convert to fraction form
    52.63/72.61 = 34.23/x
  3. Step 3: Cross multiply
    52.63x = 72.61 × 34.23
  4. Step 4: Simplify right side
    52.63x = 2,485.44
  5. Step 5: Solve for x
    x = 2,485.44/52.63
  6. Step 6: Final answer
    x = 47.22

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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.