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Finding the Fourth Proportional to 149.18, 206.01 and 102.60

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Solution

The fourth proportional to 149.18, 206.01 and 102.60 is: 141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.18 : 206.01 = 102.60 : x
  2. Step 2: Convert to fraction form
    149.18/206.01 = 102.60/x
  3. Step 3: Cross multiply
    149.18x = 206.01 × 102.60
  4. Step 4: Simplify right side
    149.18x = 21,136.63
  5. Step 5: Solve for x
    x = 21,136.63/149.18
  6. Step 6: Final answer
    x = 141.69

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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.