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Finding the Fourth Proportional to 78.84, 108.72 and 54.27

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Solution

The fourth proportional to 78.84, 108.72 and 54.27 is: 74.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.84 : 108.72 = 54.27 : x
  2. Step 2: Convert to fraction form
    78.84/108.72 = 54.27/x
  3. Step 3: Cross multiply
    78.84x = 108.72 × 54.27
  4. Step 4: Simplify right side
    78.84x = 5,900.23
  5. Step 5: Solve for x
    x = 5,900.23/78.84
  6. Step 6: Final answer
    x = 74.84

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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.