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Finding the Fourth Proportional to 108.53, 149.64 and 77.42

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Solution

The fourth proportional to 108.53, 149.64 and 77.42 is: 106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.53 : 149.64 = 77.42 : x
  2. Step 2: Convert to fraction form
    108.53/149.64 = 77.42/x
  3. Step 3: Cross multiply
    108.53x = 149.64 × 77.42
  4. Step 4: Simplify right side
    108.53x = 11,585.21
  5. Step 5: Solve for x
    x = 11,585.21/108.53
  6. Step 6: Final answer
    x = 106.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.