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Finding the Fourth Proportional to 48.30, 66.64 and 34.52

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Solution

The fourth proportional to 48.30, 66.64 and 34.52 is: 47.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.30 : 66.64 = 34.52 : x
  2. Step 2: Convert to fraction form
    48.30/66.64 = 34.52/x
  3. Step 3: Cross multiply
    48.30x = 66.64 × 34.52
  4. Step 4: Simplify right side
    48.30x = 2,300.41
  5. Step 5: Solve for x
    x = 2,300.41/48.30
  6. Step 6: Final answer
    x = 47.63

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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.