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Finding the Fourth Proportional to 123.85, 171.05 and 82.59

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Solution

The fourth proportional to 123.85, 171.05 and 82.59 is: 114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.85 : 171.05 = 82.59 : x
  2. Step 2: Convert to fraction form
    123.85/171.05 = 82.59/x
  3. Step 3: Cross multiply
    123.85x = 171.05 × 82.59
  4. Step 4: Simplify right side
    123.85x = 14,127.45
  5. Step 5: Solve for x
    x = 14,127.45/123.85
  6. Step 6: Final answer
    x = 114.07

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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.