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Finding the Fourth Proportional to 123.16, 169.84 and 84.28

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Solution

The fourth proportional to 123.16, 169.84 and 84.28 is: 116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.16 : 169.84 = 84.28 : x
  2. Step 2: Convert to fraction form
    123.16/169.84 = 84.28/x
  3. Step 3: Cross multiply
    123.16x = 169.84 × 84.28
  4. Step 4: Simplify right side
    123.16x = 14,314.12
  5. Step 5: Solve for x
    x = 14,314.12/123.16
  6. Step 6: Final answer
    x = 116.22

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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.