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Finding the Fourth Proportional to 108.21, 149.08 and 77.08

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Solution

The fourth proportional to 108.21, 149.08 and 77.08 is: 106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.21 : 149.08 = 77.08 : x
  2. Step 2: Convert to fraction form
    108.21/149.08 = 77.08/x
  3. Step 3: Cross multiply
    108.21x = 149.08 × 77.08
  4. Step 4: Simplify right side
    108.21x = 11,490.52
  5. Step 5: Solve for x
    x = 11,490.52/108.21
  6. Step 6: Final answer
    x = 106.19

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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.