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Finding the Fourth Proportional to 135.24, 186.96 and 113.40

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Solution

The fourth proportional to 135.24, 186.96 and 113.40 is: 156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.24 : 186.96 = 113.40 : x
  2. Step 2: Convert to fraction form
    135.24/186.96 = 113.40/x
  3. Step 3: Cross multiply
    135.24x = 186.96 × 113.40
  4. Step 4: Simplify right side
    135.24x = 21,201.26
  5. Step 5: Solve for x
    x = 21,201.26/135.24
  6. Step 6: Final answer
    x = 156.77

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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.