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Finding the Fourth Proportional to 135.97, 187.65 and 111.34

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Solution

The fourth proportional to 135.97, 187.65 and 111.34 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.97 : 187.65 = 111.34 : x
  2. Step 2: Convert to fraction form
    135.97/187.65 = 111.34/x
  3. Step 3: Cross multiply
    135.97x = 187.65 × 111.34
  4. Step 4: Simplify right side
    135.97x = 20,892.95
  5. Step 5: Solve for x
    x = 20,892.95/135.97
  6. Step 6: Final answer
    x = 153.66

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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.