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Finding the Fourth Proportional to 52.24, 72.06 and 32.80

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Solution

The fourth proportional to 52.24, 72.06 and 32.80 is: 45.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.24 : 72.06 = 32.80 : x
  2. Step 2: Convert to fraction form
    52.24/72.06 = 32.80/x
  3. Step 3: Cross multiply
    52.24x = 72.06 × 32.80
  4. Step 4: Simplify right side
    52.24x = 2,363.57
  5. Step 5: Solve for x
    x = 2,363.57/52.24
  6. Step 6: Final answer
    x = 45.24

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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.