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Finding the Fourth Proportional to 74.71, 103.54 and 73.84

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Solution

The fourth proportional to 74.71, 103.54 and 73.84 is: 102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.71 : 103.54 = 73.84 : x
  2. Step 2: Convert to fraction form
    74.71/103.54 = 73.84/x
  3. Step 3: Cross multiply
    74.71x = 103.54 × 73.84
  4. Step 4: Simplify right side
    74.71x = 7,645.39
  5. Step 5: Solve for x
    x = 7,645.39/74.71
  6. Step 6: Final answer
    x = 102.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.