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Finding the Fourth Proportional to 78.74, 118.55 and 65.15

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Solution

The fourth proportional to 78.74, 118.55 and 65.15 is: 98.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.74 : 118.55 = 65.15 : x
  2. Step 2: Convert to fraction form
    78.74/118.55 = 65.15/x
  3. Step 3: Cross multiply
    78.74x = 118.55 × 65.15
  4. Step 4: Simplify right side
    78.74x = 7,723.53
  5. Step 5: Solve for x
    x = 7,723.53/78.74
  6. Step 6: Final answer
    x = 98.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.