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Finding the Fourth Proportional to 108.77, 151.14 and 107.66

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Solution

The fourth proportional to 108.77, 151.14 and 107.66 is: 149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.77 : 151.14 = 107.66 : x
  2. Step 2: Convert to fraction form
    108.77/151.14 = 107.66/x
  3. Step 3: Cross multiply
    108.77x = 151.14 × 107.66
  4. Step 4: Simplify right side
    108.77x = 16,270.98
  5. Step 5: Solve for x
    x = 16,270.98/108.77
  6. Step 6: Final answer
    x = 149.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.