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Finding the Fourth Proportional to 78.15, 107.81 and 54.87

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Solution

The fourth proportional to 78.15, 107.81 and 54.87 is: 75.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.15 : 107.81 = 54.87 : x
  2. Step 2: Convert to fraction form
    78.15/107.81 = 54.87/x
  3. Step 3: Cross multiply
    78.15x = 107.81 × 54.87
  4. Step 4: Simplify right side
    78.15x = 5,915.53
  5. Step 5: Solve for x
    x = 5,915.53/78.15
  6. Step 6: Final answer
    x = 75.69

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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.