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Finding the Fourth Proportional to 74.50, 102.44 and 72.22

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Solution

The fourth proportional to 74.50, 102.44 and 72.22 is: 99.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.50 : 102.44 = 72.22 : x
  2. Step 2: Convert to fraction form
    74.50/102.44 = 72.22/x
  3. Step 3: Cross multiply
    74.50x = 102.44 × 72.22
  4. Step 4: Simplify right side
    74.50x = 7,397.60
  5. Step 5: Solve for x
    x = 7,397.60/74.50
  6. Step 6: Final answer
    x = 99.30

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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.