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Finding the Fourth Proportional to 51.06, 70.83 and 48.33

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Solution

The fourth proportional to 51.06, 70.83 and 48.33 is: 67.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.06 : 70.83 = 48.33 : x
  2. Step 2: Convert to fraction form
    51.06/70.83 = 48.33/x
  3. Step 3: Cross multiply
    51.06x = 70.83 × 48.33
  4. Step 4: Simplify right side
    51.06x = 3,423.35
  5. Step 5: Solve for x
    x = 3,423.35/51.06
  6. Step 6: Final answer
    x = 67.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.