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Finding the Fourth Proportional to 135.41, 186.86 and 77.19

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Solution

The fourth proportional to 135.41, 186.86 and 77.19 is: 106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.41 : 186.86 = 77.19 : x
  2. Step 2: Convert to fraction form
    135.41/186.86 = 77.19/x
  3. Step 3: Cross multiply
    135.41x = 186.86 × 77.19
  4. Step 4: Simplify right side
    135.41x = 14,423.72
  5. Step 5: Solve for x
    x = 14,423.72/135.41
  6. Step 6: Final answer
    x = 106.52

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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.