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Finding the Fourth Proportional to 123.35, 170.30 and 84.23

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Solution

The fourth proportional to 123.35, 170.30 and 84.23 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.35 : 170.30 = 84.23 : x
  2. Step 2: Convert to fraction form
    123.35/170.30 = 84.23/x
  3. Step 3: Cross multiply
    123.35x = 170.30 × 84.23
  4. Step 4: Simplify right side
    123.35x = 14,343.10
  5. Step 5: Solve for x
    x = 14,343.10/123.35
  6. Step 6: Final answer
    x = 116.28

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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.