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Finding the Fourth Proportional to 48.34, 66.23 and 47.74

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Solution

The fourth proportional to 48.34, 66.23 and 47.74 is: 65.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.34 : 66.23 = 47.74 : x
  2. Step 2: Convert to fraction form
    48.34/66.23 = 47.74/x
  3. Step 3: Cross multiply
    48.34x = 66.23 × 47.74
  4. Step 4: Simplify right side
    48.34x = 3,161.82
  5. Step 5: Solve for x
    x = 3,161.82/48.34
  6. Step 6: Final answer
    x = 65.41

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Why These Related Problems?

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