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Finding the Fourth Proportional to 107.84, 148.97 and 85.77

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Solution

The fourth proportional to 107.84, 148.97 and 85.77 is: 118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 148.97 = 85.77 : x
  2. Step 2: Convert to fraction form
    107.84/148.97 = 85.77/x
  3. Step 3: Cross multiply
    107.84x = 148.97 × 85.77
  4. Step 4: Simplify right side
    107.84x = 12,777.37
  5. Step 5: Solve for x
    x = 12,777.37/107.84
  6. Step 6: Final answer
    x = 118.48

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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.