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Finding the Fourth Proportional to 68.60, 94.56 and 54.02

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Solution

The fourth proportional to 68.60, 94.56 and 54.02 is: 74.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.60 : 94.56 = 54.02 : x
  2. Step 2: Convert to fraction form
    68.60/94.56 = 54.02/x
  3. Step 3: Cross multiply
    68.60x = 94.56 × 54.02
  4. Step 4: Simplify right side
    68.60x = 5,108.13
  5. Step 5: Solve for x
    x = 5,108.13/68.60
  6. Step 6: Final answer
    x = 74.46

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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.