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Finding the Fourth Proportional to 122.02, 182.98 and 48.91

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Solution

The fourth proportional to 122.02, 182.98 and 48.91 is: 73.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 182.98 = 48.91 : x
  2. Step 2: Convert to fraction form
    122.02/182.98 = 48.91/x
  3. Step 3: Cross multiply
    122.02x = 182.98 × 48.91
  4. Step 4: Simplify right side
    122.02x = 8,949.26
  5. Step 5: Solve for x
    x = 8,949.26/122.02
  6. Step 6: Final answer
    x = 73.34

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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.