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Finding the Fourth Proportional to 48.41, 66.72 and 47.40

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Solution

The fourth proportional to 48.41, 66.72 and 47.40 is: 65.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.41 : 66.72 = 47.40 : x
  2. Step 2: Convert to fraction form
    48.41/66.72 = 47.40/x
  3. Step 3: Cross multiply
    48.41x = 66.72 × 47.40
  4. Step 4: Simplify right side
    48.41x = 3,162.83
  5. Step 5: Solve for x
    x = 3,162.83/48.41
  6. Step 6: Final answer
    x = 65.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.