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Finding the Fourth Proportional to 32.82, 45.27 and 21.15

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Solution

The fourth proportional to 32.82, 45.27 and 21.15 is: 29.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.82 : 45.27 = 21.15 : x
  2. Step 2: Convert to fraction form
    32.82/45.27 = 21.15/x
  3. Step 3: Cross multiply
    32.82x = 45.27 × 21.15
  4. Step 4: Simplify right side
    32.82x = 957.46
  5. Step 5: Solve for x
    x = 957.46/32.82
  6. Step 6: Final answer
    x = 29.17

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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.