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Finding the Fourth Proportional to 68.58, 102.09 and 68.18

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Solution

The fourth proportional to 68.58, 102.09 and 68.18 is: 101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.58 : 102.09 = 68.18 : x
  2. Step 2: Convert to fraction form
    68.58/102.09 = 68.18/x
  3. Step 3: Cross multiply
    68.58x = 102.09 × 68.18
  4. Step 4: Simplify right side
    68.58x = 6,960.24
  5. Step 5: Solve for x
    x = 6,960.24/68.58
  6. Step 6: Final answer
    x = 101.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.