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Finding the Fourth Proportional to 135.14, 202.67 and 65.71

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Solution

The fourth proportional to 135.14, 202.67 and 65.71 is: 98.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 202.67 = 65.71 : x
  2. Step 2: Convert to fraction form
    135.14/202.67 = 65.71/x
  3. Step 3: Cross multiply
    135.14x = 202.67 × 65.71
  4. Step 4: Simplify right side
    135.14x = 13,316.10
  5. Step 5: Solve for x
    x = 13,316.10/135.14
  6. Step 6: Final answer
    x = 98.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.