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Finding the Fourth Proportional to 72.66, 108.40 and 69.22

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Solution

The fourth proportional to 72.66, 108.40 and 69.22 is: 103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.66 : 108.40 = 69.22 : x
  2. Step 2: Convert to fraction form
    72.66/108.40 = 69.22/x
  3. Step 3: Cross multiply
    72.66x = 108.40 × 69.22
  4. Step 4: Simplify right side
    72.66x = 7,503.45
  5. Step 5: Solve for x
    x = 7,503.45/72.66
  6. Step 6: Final answer
    x = 103.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.