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Finding the Fourth Proportional to 135.14, 202.65 and 48.49

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Solution

The fourth proportional to 135.14, 202.65 and 48.49 is: 72.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 202.65 = 48.49 : x
  2. Step 2: Convert to fraction form
    135.14/202.65 = 48.49/x
  3. Step 3: Cross multiply
    135.14x = 202.65 × 48.49
  4. Step 4: Simplify right side
    135.14x = 9,826.26
  5. Step 5: Solve for x
    x = 9,826.26/135.14
  6. Step 6: Final answer
    x = 72.71

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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.