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Finding the Fourth Proportional to 52.18, 72.04 and 32.80

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Solution

The fourth proportional to 52.18, 72.04 and 32.80 is: 45.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.18 : 72.04 = 32.80 : x
  2. Step 2: Convert to fraction form
    52.18/72.04 = 32.80/x
  3. Step 3: Cross multiply
    52.18x = 72.04 × 32.80
  4. Step 4: Simplify right side
    52.18x = 2,362.91
  5. Step 5: Solve for x
    x = 2,362.91/52.18
  6. Step 6: Final answer
    x = 45.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.