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Finding the Fourth Proportional to 123.17, 169.99 and 102.41

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Solution

The fourth proportional to 123.17, 169.99 and 102.41 is: 141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.17 : 169.99 = 102.41 : x
  2. Step 2: Convert to fraction form
    123.17/169.99 = 102.41/x
  3. Step 3: Cross multiply
    123.17x = 169.99 × 102.41
  4. Step 4: Simplify right side
    123.17x = 17,409.36
  5. Step 5: Solve for x
    x = 17,409.36/123.17
  6. Step 6: Final answer
    x = 141.34

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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.