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Finding the Fourth Proportional to 74.08, 102.26 and 58.60

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Solution

The fourth proportional to 74.08, 102.26 and 58.60 is: 80.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.08 : 102.26 = 58.60 : x
  2. Step 2: Convert to fraction form
    74.08/102.26 = 58.60/x
  3. Step 3: Cross multiply
    74.08x = 102.26 × 58.60
  4. Step 4: Simplify right side
    74.08x = 5,992.44
  5. Step 5: Solve for x
    x = 5,992.44/74.08
  6. Step 6: Final answer
    x = 80.89

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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.