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Finding the Fourth Proportional to 74.14, 102.36 and 73.33

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Solution

The fourth proportional to 74.14, 102.36 and 73.33 is: 101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.14 : 102.36 = 73.33 : x
  2. Step 2: Convert to fraction form
    74.14/102.36 = 73.33/x
  3. Step 3: Cross multiply
    74.14x = 102.36 × 73.33
  4. Step 4: Simplify right side
    74.14x = 7,506.06
  5. Step 5: Solve for x
    x = 7,506.06/74.14
  6. Step 6: Final answer
    x = 101.24

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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.