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Finding the Fourth Proportional to 74.30, 102.56 and 55.94

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Solution

The fourth proportional to 74.30, 102.56 and 55.94 is: 77.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.30 : 102.56 = 55.94 : x
  2. Step 2: Convert to fraction form
    74.30/102.56 = 55.94/x
  3. Step 3: Cross multiply
    74.30x = 102.56 × 55.94
  4. Step 4: Simplify right side
    74.30x = 5,736.94
  5. Step 5: Solve for x
    x = 5,736.94/74.30
  6. Step 6: Final answer
    x = 77.21

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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.