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Finding the Fourth Proportional to 78.72, 118.20 and 65.28

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Solution

The fourth proportional to 78.72, 118.20 and 65.28 is: 98.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.72 : 118.20 = 65.28 : x
  2. Step 2: Convert to fraction form
    78.72/118.20 = 65.28/x
  3. Step 3: Cross multiply
    78.72x = 118.20 × 65.28
  4. Step 4: Simplify right side
    78.72x = 7,716.10
  5. Step 5: Solve for x
    x = 7,716.10/78.72
  6. Step 6: Final answer
    x = 98.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.