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Finding the Fourth Proportional to 123.24, 170.09 and 95.60

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Solution

The fourth proportional to 123.24, 170.09 and 95.60 is: 131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.24 : 170.09 = 95.60 : x
  2. Step 2: Convert to fraction form
    123.24/170.09 = 95.60/x
  3. Step 3: Cross multiply
    123.24x = 170.09 × 95.60
  4. Step 4: Simplify right side
    123.24x = 16,260.60
  5. Step 5: Solve for x
    x = 16,260.60/123.24
  6. Step 6: Final answer
    x = 131.94

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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.