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Finding the Fourth Proportional to 123.04, 169.76 and 84.24

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Solution

The fourth proportional to 123.04, 169.76 and 84.24 is: 116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.04 : 169.76 = 84.24 : x
  2. Step 2: Convert to fraction form
    123.04/169.76 = 84.24/x
  3. Step 3: Cross multiply
    123.04x = 169.76 × 84.24
  4. Step 4: Simplify right side
    123.04x = 14,300.58
  5. Step 5: Solve for x
    x = 14,300.58/123.04
  6. Step 6: Final answer
    x = 116.23

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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.