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Finding the Fourth Proportional to 110.66, 152.78 and 67.01

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Solution

The fourth proportional to 110.66, 152.78 and 67.01 is: 92.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.66 : 152.78 = 67.01 : x
  2. Step 2: Convert to fraction form
    110.66/152.78 = 67.01/x
  3. Step 3: Cross multiply
    110.66x = 152.78 × 67.01
  4. Step 4: Simplify right side
    110.66x = 10,236.69
  5. Step 5: Solve for x
    x = 10,236.69/110.66
  6. Step 6: Final answer
    x = 92.51

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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.