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Finding the Fourth Proportional to 135.50, 186.45 and 102.62

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Solution

The fourth proportional to 135.50, 186.45 and 102.62 is: 141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.50 : 186.45 = 102.62 : x
  2. Step 2: Convert to fraction form
    135.50/186.45 = 102.62/x
  3. Step 3: Cross multiply
    135.50x = 186.45 × 102.62
  4. Step 4: Simplify right side
    135.50x = 19,133.50
  5. Step 5: Solve for x
    x = 19,133.50/135.50
  6. Step 6: Final answer
    x = 141.21

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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.