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Finding the Fourth Proportional to 135.84, 187.34 and 92.20

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Solution

The fourth proportional to 135.84, 187.34 and 92.20 is: 127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 187.34 = 92.20 : x
  2. Step 2: Convert to fraction form
    135.84/187.34 = 92.20/x
  3. Step 3: Cross multiply
    135.84x = 187.34 × 92.20
  4. Step 4: Simplify right side
    135.84x = 17,272.75
  5. Step 5: Solve for x
    x = 17,272.75/135.84
  6. Step 6: Final answer
    x = 127.16

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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.