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Finding the Fourth Proportional to 110.21, 152.08 and 73.33

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Solution

The fourth proportional to 110.21, 152.08 and 73.33 is: 101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.21 : 152.08 = 73.33 : x
  2. Step 2: Convert to fraction form
    110.21/152.08 = 73.33/x
  3. Step 3: Cross multiply
    110.21x = 152.08 × 73.33
  4. Step 4: Simplify right side
    110.21x = 11,151.46
  5. Step 5: Solve for x
    x = 11,151.46/110.21
  6. Step 6: Final answer
    x = 101.19

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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.