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Finding the Fourth Proportional to 74.44, 102.42 and 72.28

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Solution

The fourth proportional to 74.44, 102.42 and 72.28 is: 99.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.44 : 102.42 = 72.28 : x
  2. Step 2: Convert to fraction form
    74.44/102.42 = 72.28/x
  3. Step 3: Cross multiply
    74.44x = 102.42 × 72.28
  4. Step 4: Simplify right side
    74.44x = 7,402.92
  5. Step 5: Solve for x
    x = 7,402.92/74.44
  6. Step 6: Final answer
    x = 99.45

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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.