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Finding the Fourth Proportional to 149.14, 205.77 and 102.49

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Solution

The fourth proportional to 149.14, 205.77 and 102.49 is: 141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.14 : 205.77 = 102.49 : x
  2. Step 2: Convert to fraction form
    149.14/205.77 = 102.49/x
  3. Step 3: Cross multiply
    149.14x = 205.77 × 102.49
  4. Step 4: Simplify right side
    149.14x = 21,088.95
  5. Step 5: Solve for x
    x = 21,088.95/149.14
  6. Step 6: Final answer
    x = 141.40

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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.