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Finding the Fourth Proportional to 43.22, 59.58 and 32.82

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Solution

The fourth proportional to 43.22, 59.58 and 32.82 is: 45.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.22 : 59.58 = 32.82 : x
  2. Step 2: Convert to fraction form
    43.22/59.58 = 32.82/x
  3. Step 3: Cross multiply
    43.22x = 59.58 × 32.82
  4. Step 4: Simplify right side
    43.22x = 1,955.42
  5. Step 5: Solve for x
    x = 1,955.42/43.22
  6. Step 6: Final answer
    x = 45.25

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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.