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Finding the Fourth Proportional to 74.09, 102.14 and 47.81

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Solution

The fourth proportional to 74.09, 102.14 and 47.81 is: 65.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.09 : 102.14 = 47.81 : x
  2. Step 2: Convert to fraction form
    74.09/102.14 = 47.81/x
  3. Step 3: Cross multiply
    74.09x = 102.14 × 47.81
  4. Step 4: Simplify right side
    74.09x = 4,883.31
  5. Step 5: Solve for x
    x = 4,883.31/74.09
  6. Step 6: Final answer
    x = 65.92

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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.