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Finding the Fourth Proportional to 74.09, 102.19 and 48.21

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Solution

The fourth proportional to 74.09, 102.19 and 48.21 is: 66.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.09 : 102.19 = 48.21 : x
  2. Step 2: Convert to fraction form
    74.09/102.19 = 48.21/x
  3. Step 3: Cross multiply
    74.09x = 102.19 × 48.21
  4. Step 4: Simplify right side
    74.09x = 4,926.58
  5. Step 5: Solve for x
    x = 4,926.58/74.09
  6. Step 6: Final answer
    x = 66.49

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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.