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Finding the Fourth Proportional to 123.67, 170.64 and 80.00

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Solution

The fourth proportional to 123.67, 170.64 and 80.00 is: 110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.67 : 170.64 = 80.00 : x
  2. Step 2: Convert to fraction form
    123.67/170.64 = 80.00/x
  3. Step 3: Cross multiply
    123.67x = 170.64 × 80.00
  4. Step 4: Simplify right side
    123.67x = 13,650.37
  5. Step 5: Solve for x
    x = 13,650.37/123.67
  6. Step 6: Final answer
    x = 110.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.