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Finding the Fourth Proportional to 108.52, 149.76 and 77.51

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Solution

The fourth proportional to 108.52, 149.76 and 77.51 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.52 : 149.76 = 77.51 : x
  2. Step 2: Convert to fraction form
    108.52/149.76 = 77.51/x
  3. Step 3: Cross multiply
    108.52x = 149.76 × 77.51
  4. Step 4: Simplify right side
    108.52x = 11,608.24
  5. Step 5: Solve for x
    x = 11,608.24/108.52
  6. Step 6: Final answer
    x = 106.96

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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.