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Finding the Fourth Proportional to 84.37, 116.52 and 77.45

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Solution

The fourth proportional to 84.37, 116.52 and 77.45 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.37 : 116.52 = 77.45 : x
  2. Step 2: Convert to fraction form
    84.37/116.52 = 77.45/x
  3. Step 3: Cross multiply
    84.37x = 116.52 × 77.45
  4. Step 4: Simplify right side
    84.37x = 9,023.99
  5. Step 5: Solve for x
    x = 9,023.99/84.37
  6. Step 6: Final answer
    x = 106.96

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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.