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Finding the Fourth Proportional to 68.55, 102.73 and 45.69

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Solution

The fourth proportional to 68.55, 102.73 and 45.69 is: 68.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.55 : 102.73 = 45.69 : x
  2. Step 2: Convert to fraction form
    68.55/102.73 = 45.69/x
  3. Step 3: Cross multiply
    68.55x = 102.73 × 45.69
  4. Step 4: Simplify right side
    68.55x = 4,693.73
  5. Step 5: Solve for x
    x = 4,693.73/68.55
  6. Step 6: Final answer
    x = 68.47

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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.