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Finding the Fourth Proportional to 48.09, 72.09 and 31.02

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Solution

The fourth proportional to 48.09, 72.09 and 31.02 is: 46.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.09 : 72.09 = 31.02 : x
  2. Step 2: Convert to fraction form
    48.09/72.09 = 31.02/x
  3. Step 3: Cross multiply
    48.09x = 72.09 × 31.02
  4. Step 4: Simplify right side
    48.09x = 2,235.96
  5. Step 5: Solve for x
    x = 2,235.96/48.09
  6. Step 6: Final answer
    x = 46.49

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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.