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Finding the Fourth Proportional to 74.66, 102.87 and 68.45

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Solution

The fourth proportional to 74.66, 102.87 and 68.45 is: 94.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.66 : 102.87 = 68.45 : x
  2. Step 2: Convert to fraction form
    74.66/102.87 = 68.45/x
  3. Step 3: Cross multiply
    74.66x = 102.87 × 68.45
  4. Step 4: Simplify right side
    74.66x = 7,040.94
  5. Step 5: Solve for x
    x = 7,040.94/74.66
  6. Step 6: Final answer
    x = 94.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.