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Finding the Fourth Proportional to 48.15, 65.86 and 47.43

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Solution

The fourth proportional to 48.15, 65.86 and 47.43 is: 64.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.15 : 65.86 = 47.43 : x
  2. Step 2: Convert to fraction form
    48.15/65.86 = 47.43/x
  3. Step 3: Cross multiply
    48.15x = 65.86 × 47.43
  4. Step 4: Simplify right side
    48.15x = 3,123.62
  5. Step 5: Solve for x
    x = 3,123.62/48.15
  6. Step 6: Final answer
    x = 64.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.