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Finding the Fourth Proportional to 108.45, 149.73 and 77.46

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Solution

The fourth proportional to 108.45, 149.73 and 77.46 is: 106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.45 : 149.73 = 77.46 : x
  2. Step 2: Convert to fraction form
    108.45/149.73 = 77.46/x
  3. Step 3: Cross multiply
    108.45x = 149.73 × 77.46
  4. Step 4: Simplify right side
    108.45x = 11,598.09
  5. Step 5: Solve for x
    x = 11,598.09/108.45
  6. Step 6: Final answer
    x = 106.94

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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.