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Finding the Fourth Proportional to 74.81, 102.81 and 71.42

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Solution

The fourth proportional to 74.81, 102.81 and 71.42 is: 98.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.81 : 102.81 = 71.42 : x
  2. Step 2: Convert to fraction form
    74.81/102.81 = 71.42/x
  3. Step 3: Cross multiply
    74.81x = 102.81 × 71.42
  4. Step 4: Simplify right side
    74.81x = 7,342.38
  5. Step 5: Solve for x
    x = 7,342.38/74.81
  6. Step 6: Final answer
    x = 98.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.