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Finding the Fourth Proportional to 135.15, 186.51 and 76.95

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Solution

The fourth proportional to 135.15, 186.51 and 76.95 is: 106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.15 : 186.51 = 76.95 : x
  2. Step 2: Convert to fraction form
    135.15/186.51 = 76.95/x
  3. Step 3: Cross multiply
    135.15x = 186.51 × 76.95
  4. Step 4: Simplify right side
    135.15x = 14,351.94
  5. Step 5: Solve for x
    x = 14,351.94/135.15
  6. Step 6: Final answer
    x = 106.19

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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.