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Finding the Fourth Proportional to 135.63, 186.84 and 111.06

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Solution

The fourth proportional to 135.63, 186.84 and 111.06 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.63 : 186.84 = 111.06 : x
  2. Step 2: Convert to fraction form
    135.63/186.84 = 111.06/x
  3. Step 3: Cross multiply
    135.63x = 186.84 × 111.06
  4. Step 4: Simplify right side
    135.63x = 20,750.45
  5. Step 5: Solve for x
    x = 20,750.45/135.63
  6. Step 6: Final answer
    x = 152.99

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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.