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Finding the Fourth Proportional to 135.29, 186.64 and 77.03

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Solution

The fourth proportional to 135.29, 186.64 and 77.03 is: 106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.29 : 186.64 = 77.03 : x
  2. Step 2: Convert to fraction form
    135.29/186.64 = 77.03/x
  3. Step 3: Cross multiply
    135.29x = 186.64 × 77.03
  4. Step 4: Simplify right side
    135.29x = 14,376.88
  5. Step 5: Solve for x
    x = 14,376.88/135.29
  6. Step 6: Final answer
    x = 106.27

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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.