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Finding the Fourth Proportional to 135.54, 186.71 and 102.74

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Solution

The fourth proportional to 135.54, 186.71 and 102.74 is: 141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.54 : 186.71 = 102.74 : x
  2. Step 2: Convert to fraction form
    135.54/186.71 = 102.74/x
  3. Step 3: Cross multiply
    135.54x = 186.71 × 102.74
  4. Step 4: Simplify right side
    135.54x = 19,181.14
  5. Step 5: Solve for x
    x = 19,181.14/135.54
  6. Step 6: Final answer
    x = 141.52

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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.