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Finding the Fourth Proportional to 73.69, 102.38 and 72.98

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Solution

The fourth proportional to 73.69, 102.38 and 72.98 is: 101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 102.38 = 72.98 : x
  2. Step 2: Convert to fraction form
    73.69/102.38 = 72.98/x
  3. Step 3: Cross multiply
    73.69x = 102.38 × 72.98
  4. Step 4: Simplify right side
    73.69x = 7,471.61
  5. Step 5: Solve for x
    x = 7,471.61/73.69
  6. Step 6: Final answer
    x = 101.40

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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.