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Finding the Fourth Proportional to 48.54, 67.05 and 34.02

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Solution

The fourth proportional to 48.54, 67.05 and 34.02 is: 46.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.54 : 67.05 = 34.02 : x
  2. Step 2: Convert to fraction form
    48.54/67.05 = 34.02/x
  3. Step 3: Cross multiply
    48.54x = 67.05 × 34.02
  4. Step 4: Simplify right side
    48.54x = 2,281.04
  5. Step 5: Solve for x
    x = 2,281.04/48.54
  6. Step 6: Final answer
    x = 46.99

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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.