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Finding the Fourth Proportional to 135.10, 186.36 and 76.84

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Solution

The fourth proportional to 135.10, 186.36 and 76.84 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.10 : 186.36 = 76.84 : x
  2. Step 2: Convert to fraction form
    135.10/186.36 = 76.84/x
  3. Step 3: Cross multiply
    135.10x = 186.36 × 76.84
  4. Step 4: Simplify right side
    135.10x = 14,319.90
  5. Step 5: Solve for x
    x = 14,319.90/135.10
  6. Step 6: Final answer
    x = 105.99

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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.