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Finding the Fourth Proportional to 74.69, 102.97 and 60.83

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Solution

The fourth proportional to 74.69, 102.97 and 60.83 is: 83.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.69 : 102.97 = 60.83 : x
  2. Step 2: Convert to fraction form
    74.69/102.97 = 60.83/x
  3. Step 3: Cross multiply
    74.69x = 102.97 × 60.83
  4. Step 4: Simplify right side
    74.69x = 6,263.67
  5. Step 5: Solve for x
    x = 6,263.67/74.69
  6. Step 6: Final answer
    x = 83.86

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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.