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Finding the Fourth Proportional to 72.14, 100.24 and 71.39

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Solution

The fourth proportional to 72.14, 100.24 and 71.39 is: 99.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 100.24 = 71.39 : x
  2. Step 2: Convert to fraction form
    72.14/100.24 = 71.39/x
  3. Step 3: Cross multiply
    72.14x = 100.24 × 71.39
  4. Step 4: Simplify right side
    72.14x = 7,156.21
  5. Step 5: Solve for x
    x = 7,156.21/72.14
  6. Step 6: Final answer
    x = 99.21

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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.