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Finding the Fourth Proportional to 78.64, 109.01 and 77.50

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Solution

The fourth proportional to 78.64, 109.01 and 77.50 is: 107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.64 : 109.01 = 77.50 : x
  2. Step 2: Convert to fraction form
    78.64/109.01 = 77.50/x
  3. Step 3: Cross multiply
    78.64x = 109.01 × 77.50
  4. Step 4: Simplify right side
    78.64x = 8,448.28
  5. Step 5: Solve for x
    x = 8,448.28/78.64
  6. Step 6: Final answer
    x = 107.43

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.