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Finding the Fourth Proportional to 110.70, 152.76 and 67.06

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Solution

The fourth proportional to 110.70, 152.76 and 67.06 is: 92.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.70 : 152.76 = 67.06 : x
  2. Step 2: Convert to fraction form
    110.70/152.76 = 67.06/x
  3. Step 3: Cross multiply
    110.70x = 152.76 × 67.06
  4. Step 4: Simplify right side
    110.70x = 10,244.09
  5. Step 5: Solve for x
    x = 10,244.09/110.70
  6. Step 6: Final answer
    x = 92.54

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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.