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Finding the Fourth Proportional to 32.83, 45.26 and 21.17

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Solution

The fourth proportional to 32.83, 45.26 and 21.17 is: 29.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.83 : 45.26 = 21.17 : x
  2. Step 2: Convert to fraction form
    32.83/45.26 = 21.17/x
  3. Step 3: Cross multiply
    32.83x = 45.26 × 21.17
  4. Step 4: Simplify right side
    32.83x = 958.19
  5. Step 5: Solve for x
    x = 958.19/32.83
  6. Step 6: Final answer
    x = 29.19

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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.