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Finding the Fourth Proportional to 108.35, 149.46 and 68.94

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Solution

The fourth proportional to 108.35, 149.46 and 68.94 is: 95.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.35 : 149.46 = 68.94 : x
  2. Step 2: Convert to fraction form
    108.35/149.46 = 68.94/x
  3. Step 3: Cross multiply
    108.35x = 149.46 × 68.94
  4. Step 4: Simplify right side
    108.35x = 10,303.77
  5. Step 5: Solve for x
    x = 10,303.77/108.35
  6. Step 6: Final answer
    x = 95.10

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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.