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Finding the Fourth Proportional to 135.38, 186.84 and 77.16

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Solution

The fourth proportional to 135.38, 186.84 and 77.16 is: 106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.38 : 186.84 = 77.16 : x
  2. Step 2: Convert to fraction form
    135.38/186.84 = 77.16/x
  3. Step 3: Cross multiply
    135.38x = 186.84 × 77.16
  4. Step 4: Simplify right side
    135.38x = 14,416.57
  5. Step 5: Solve for x
    x = 14,416.57/135.38
  6. Step 6: Final answer
    x = 106.49

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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.