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Finding the Fourth Proportional to 74.13, 102.09 and 72.54

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Solution

The fourth proportional to 74.13, 102.09 and 72.54 is: 99.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.13 : 102.09 = 72.54 : x
  2. Step 2: Convert to fraction form
    74.13/102.09 = 72.54/x
  3. Step 3: Cross multiply
    74.13x = 102.09 × 72.54
  4. Step 4: Simplify right side
    74.13x = 7,405.61
  5. Step 5: Solve for x
    x = 7,405.61/74.13
  6. Step 6: Final answer
    x = 99.90

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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.