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Finding the Fourth Proportional to 135.93, 187.57 and 77.71

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Solution

The fourth proportional to 135.93, 187.57 and 77.71 is: 107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.93 : 187.57 = 77.71 : x
  2. Step 2: Convert to fraction form
    135.93/187.57 = 77.71/x
  3. Step 3: Cross multiply
    135.93x = 187.57 × 77.71
  4. Step 4: Simplify right side
    135.93x = 14,576.06
  5. Step 5: Solve for x
    x = 14,576.06/135.93
  6. Step 6: Final answer
    x = 107.23

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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.