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Finding the Fourth Proportional to 108.65, 149.76 and 75.83

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Solution

The fourth proportional to 108.65, 149.76 and 75.83 is: 104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.65 : 149.76 = 75.83 : x
  2. Step 2: Convert to fraction form
    108.65/149.76 = 75.83/x
  3. Step 3: Cross multiply
    108.65x = 149.76 × 75.83
  4. Step 4: Simplify right side
    108.65x = 11,356.30
  5. Step 5: Solve for x
    x = 11,356.30/108.65
  6. Step 6: Final answer
    x = 104.52

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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.