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Finding the Fourth Proportional to 45.86, 63.24 and 37.76

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Solution

The fourth proportional to 45.86, 63.24 and 37.76 is: 52.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.86 : 63.24 = 37.76 : x
  2. Step 2: Convert to fraction form
    45.86/63.24 = 37.76/x
  3. Step 3: Cross multiply
    45.86x = 63.24 × 37.76
  4. Step 4: Simplify right side
    45.86x = 2,387.94
  5. Step 5: Solve for x
    x = 2,387.94/45.86
  6. Step 6: Final answer
    x = 52.07

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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.