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Finding the Fourth Proportional to 110.34, 152.28 and 66.71

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Solution

The fourth proportional to 110.34, 152.28 and 66.71 is: 92.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.34 : 152.28 = 66.71 : x
  2. Step 2: Convert to fraction form
    110.34/152.28 = 66.71/x
  3. Step 3: Cross multiply
    110.34x = 152.28 × 66.71
  4. Step 4: Simplify right side
    110.34x = 10,157.84
  5. Step 5: Solve for x
    x = 10,157.84/110.34
  6. Step 6: Final answer
    x = 92.06

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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.