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Finding the Fourth Proportional to 74.01, 102.09 and 58.45

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Solution

The fourth proportional to 74.01, 102.09 and 58.45 is: 80.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.01 : 102.09 = 58.45 : x
  2. Step 2: Convert to fraction form
    74.01/102.09 = 58.45/x
  3. Step 3: Cross multiply
    74.01x = 102.09 × 58.45
  4. Step 4: Simplify right side
    74.01x = 5,966.54
  5. Step 5: Solve for x
    x = 5,966.54/74.01
  6. Step 6: Final answer
    x = 80.61

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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.