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Finding the Fourth Proportional to 84.64, 127.61 and 78.77

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Solution

The fourth proportional to 84.64, 127.61 and 78.77 is: 118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.64 : 127.61 = 78.77 : x
  2. Step 2: Convert to fraction form
    84.64/127.61 = 78.77/x
  3. Step 3: Cross multiply
    84.64x = 127.61 × 78.77
  4. Step 4: Simplify right side
    84.64x = 10,051.84
  5. Step 5: Solve for x
    x = 10,051.84/84.64
  6. Step 6: Final answer
    x = 118.76

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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.