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Finding the Fourth Proportional to 48.19, 72.13 and 33.70

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Solution

The fourth proportional to 48.19, 72.13 and 33.70 is: 50.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.19 : 72.13 = 33.70 : x
  2. Step 2: Convert to fraction form
    48.19/72.13 = 33.70/x
  3. Step 3: Cross multiply
    48.19x = 72.13 × 33.70
  4. Step 4: Simplify right side
    48.19x = 2,430.78
  5. Step 5: Solve for x
    x = 2,430.78/48.19
  6. Step 6: Final answer
    x = 50.44

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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.