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Finding the Fourth Proportional to 108.68, 161.93 and 103.77

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Solution

The fourth proportional to 108.68, 161.93 and 103.77 is: 154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.68 : 161.93 = 103.77 : x
  2. Step 2: Convert to fraction form
    108.68/161.93 = 103.77/x
  3. Step 3: Cross multiply
    108.68x = 161.93 × 103.77
  4. Step 4: Simplify right side
    108.68x = 16,803.74
  5. Step 5: Solve for x
    x = 16,803.74/108.68
  6. Step 6: Final answer
    x = 154.62

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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.