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Finding the Fourth Proportional to 110.70, 152.85 and 83.37

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Solution

The fourth proportional to 110.70, 152.85 and 83.37 is: 115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.70 : 152.85 = 83.37 : x
  2. Step 2: Convert to fraction form
    110.70/152.85 = 83.37/x
  3. Step 3: Cross multiply
    110.70x = 152.85 × 83.37
  4. Step 4: Simplify right side
    110.70x = 12,743.10
  5. Step 5: Solve for x
    x = 12,743.10/110.70
  6. Step 6: Final answer
    x = 115.11

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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.