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Finding the Fourth Proportional to 149.55, 206.50 and 102.31

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Solution

The fourth proportional to 149.55, 206.50 and 102.31 is: 141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.55 : 206.50 = 102.31 : x
  2. Step 2: Convert to fraction form
    149.55/206.50 = 102.31/x
  3. Step 3: Cross multiply
    149.55x = 206.50 × 102.31
  4. Step 4: Simplify right side
    149.55x = 21,127.60
  5. Step 5: Solve for x
    x = 21,127.60/149.55
  6. Step 6: Final answer
    x = 141.28

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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.