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Finding the Fourth Proportional to 41.02, 56.60 and 32.83

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Solution

The fourth proportional to 41.02, 56.60 and 32.83 is: 45.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.02 : 56.60 = 32.83 : x
  2. Step 2: Convert to fraction form
    41.02/56.60 = 32.83/x
  3. Step 3: Cross multiply
    41.02x = 56.60 × 32.83
  4. Step 4: Simplify right side
    41.02x = 1,858.01
  5. Step 5: Solve for x
    x = 1,858.01/41.02
  6. Step 6: Final answer
    x = 45.30

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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.