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Finding the Fourth Proportional to 135.18, 186.62 and 102.45

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Solution

The fourth proportional to 135.18, 186.62 and 102.45 is: 141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.18 : 186.62 = 102.45 : x
  2. Step 2: Convert to fraction form
    135.18/186.62 = 102.45/x
  3. Step 3: Cross multiply
    135.18x = 186.62 × 102.45
  4. Step 4: Simplify right side
    135.18x = 19,119.22
  5. Step 5: Solve for x
    x = 19,119.22/135.18
  6. Step 6: Final answer
    x = 141.44

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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.