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Finding the Fourth Proportional to 149.10, 205.84 and 102.48

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Solution

The fourth proportional to 149.10, 205.84 and 102.48 is: 141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.10 : 205.84 = 102.48 : x
  2. Step 2: Convert to fraction form
    149.10/205.84 = 102.48/x
  3. Step 3: Cross multiply
    149.10x = 205.84 × 102.48
  4. Step 4: Simplify right side
    149.10x = 21,094.48
  5. Step 5: Solve for x
    x = 21,094.48/149.10
  6. Step 6: Final answer
    x = 141.48

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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.