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Finding the Fourth Proportional to 68.03, 102 and 22.35

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Solution

The fourth proportional to 68.03, 102 and 22.35 is: 33.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.03 : 102 = 22.35 : x
  2. Step 2: Convert to fraction form
    68.03/102 = 22.35/x
  3. Step 3: Cross multiply
    68.03x = 102 × 22.35
  4. Step 4: Simplify right side
    68.03x = 2,279.70
  5. Step 5: Solve for x
    x = 2,279.70/68.03
  6. Step 6: Final answer
    x = 33.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.