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Finding the Fourth Proportional to 48.40, 72.63 and 46.54

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Solution

The fourth proportional to 48.40, 72.63 and 46.54 is: 69.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.40 : 72.63 = 46.54 : x
  2. Step 2: Convert to fraction form
    48.40/72.63 = 46.54/x
  3. Step 3: Cross multiply
    48.40x = 72.63 × 46.54
  4. Step 4: Simplify right side
    48.40x = 3,380.20
  5. Step 5: Solve for x
    x = 3,380.20/48.40
  6. Step 6: Final answer
    x = 69.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.