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Finding the Fourth Proportional to 123.80, 171.95 and 122.68

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Solution

The fourth proportional to 123.80, 171.95 and 122.68 is: 170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.80 : 171.95 = 122.68 : x
  2. Step 2: Convert to fraction form
    123.80/171.95 = 122.68/x
  3. Step 3: Cross multiply
    123.80x = 171.95 × 122.68
  4. Step 4: Simplify right side
    123.80x = 21,094.83
  5. Step 5: Solve for x
    x = 21,094.83/123.80
  6. Step 6: Final answer
    x = 170.39

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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.