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Finding the Fourth Proportional to 58.46, 80.55 and 37.71

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Solution

The fourth proportional to 58.46, 80.55 and 37.71 is: 51.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.46 : 80.55 = 37.71 : x
  2. Step 2: Convert to fraction form
    58.46/80.55 = 37.71/x
  3. Step 3: Cross multiply
    58.46x = 80.55 × 37.71
  4. Step 4: Simplify right side
    58.46x = 3,037.54
  5. Step 5: Solve for x
    x = 3,037.54/58.46
  6. Step 6: Final answer
    x = 51.96

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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.