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Finding the Fourth Proportional to 108.24, 149.21 and 77.22

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Solution

The fourth proportional to 108.24, 149.21 and 77.22 is: 106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.24 : 149.21 = 77.22 : x
  2. Step 2: Convert to fraction form
    108.24/149.21 = 77.22/x
  3. Step 3: Cross multiply
    108.24x = 149.21 × 77.22
  4. Step 4: Simplify right side
    108.24x = 11,521.61
  5. Step 5: Solve for x
    x = 11,521.61/108.24
  6. Step 6: Final answer
    x = 106.45

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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.