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Finding the Fourth Proportional to 135.32, 186.74 and 102.52

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Solution

The fourth proportional to 135.32, 186.74 and 102.52 is: 141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.32 : 186.74 = 102.52 : x
  2. Step 2: Convert to fraction form
    135.32/186.74 = 102.52/x
  3. Step 3: Cross multiply
    135.32x = 186.74 × 102.52
  4. Step 4: Simplify right side
    135.32x = 19,144.58
  5. Step 5: Solve for x
    x = 19,144.58/135.32
  6. Step 6: Final answer
    x = 141.48

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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.