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Finding the Fourth Proportional to 37.24, 56.06 and 32.99

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Solution

The fourth proportional to 37.24, 56.06 and 32.99 is: 49.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.24 : 56.06 = 32.99 : x
  2. Step 2: Convert to fraction form
    37.24/56.06 = 32.99/x
  3. Step 3: Cross multiply
    37.24x = 56.06 × 32.99
  4. Step 4: Simplify right side
    37.24x = 1,849.42
  5. Step 5: Solve for x
    x = 1,849.42/37.24
  6. Step 6: Final answer
    x = 49.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.