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Finding the Fourth Proportional to 52.37, 72.23 and 32.97

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Solution

The fourth proportional to 52.37, 72.23 and 32.97 is: 45.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.37 : 72.23 = 32.97 : x
  2. Step 2: Convert to fraction form
    52.37/72.23 = 32.97/x
  3. Step 3: Cross multiply
    52.37x = 72.23 × 32.97
  4. Step 4: Simplify right side
    52.37x = 2,381.26
  5. Step 5: Solve for x
    x = 2,381.26/52.37
  6. Step 6: Final answer
    x = 45.47

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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.