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Finding the Fourth Proportional to 48.04, 72.06 and 34.54

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Solution

The fourth proportional to 48.04, 72.06 and 34.54 is: 51.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.04 : 72.06 = 34.54 : x
  2. Step 2: Convert to fraction form
    48.04/72.06 = 34.54/x
  3. Step 3: Cross multiply
    48.04x = 72.06 × 34.54
  4. Step 4: Simplify right side
    48.04x = 2,488.64
  5. Step 5: Solve for x
    x = 2,488.64/48.04
  6. Step 6: Final answer
    x = 51.81

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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.