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Finding the Fourth Proportional to 108.14, 149.16 and 77

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Solution

The fourth proportional to 108.14, 149.16 and 77 is: 106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.14 : 149.16 = 77 : x
  2. Step 2: Convert to fraction form
    108.14/149.16 = 77/x
  3. Step 3: Cross multiply
    108.14x = 149.16 × 77
  4. Step 4: Simplify right side
    108.14x = 11,485.32
  5. Step 5: Solve for x
    x = 11,485.32/108.14
  6. Step 6: Final answer
    x = 106.21

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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.