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Finding the Fourth Proportional to 135.29, 186.68 and 77.06

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Solution

The fourth proportional to 135.29, 186.68 and 77.06 is: 106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.29 : 186.68 = 77.06 : x
  2. Step 2: Convert to fraction form
    135.29/186.68 = 77.06/x
  3. Step 3: Cross multiply
    135.29x = 186.68 × 77.06
  4. Step 4: Simplify right side
    135.29x = 14,386.22
  5. Step 5: Solve for x
    x = 14,386.22/135.29
  6. Step 6: Final answer
    x = 106.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.