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Finding the Fourth Proportional to 84.22, 126.53 and 72.07

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Solution

The fourth proportional to 84.22, 126.53 and 72.07 is: 108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.22 : 126.53 = 72.07 : x
  2. Step 2: Convert to fraction form
    84.22/126.53 = 72.07/x
  3. Step 3: Cross multiply
    84.22x = 126.53 × 72.07
  4. Step 4: Simplify right side
    84.22x = 9,119.02
  5. Step 5: Solve for x
    x = 9,119.02/84.22
  6. Step 6: Final answer
    x = 108.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.