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Finding the Fourth Proportional to 110.62, 152.63 and 83.06

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Solution

The fourth proportional to 110.62, 152.63 and 83.06 is: 114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.62 : 152.63 = 83.06 : x
  2. Step 2: Convert to fraction form
    110.62/152.63 = 83.06/x
  3. Step 3: Cross multiply
    110.62x = 152.63 × 83.06
  4. Step 4: Simplify right side
    110.62x = 12,677.62
  5. Step 5: Solve for x
    x = 12,677.62/110.62
  6. Step 6: Final answer
    x = 114.61

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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.