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Finding the Fourth Proportional to 73, 100.74 and 47.14

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Solution

The fourth proportional to 73, 100.74 and 47.14 is: 65.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73 : 100.74 = 47.14 : x
  2. Step 2: Convert to fraction form
    73/100.74 = 47.14/x
  3. Step 3: Cross multiply
    73x = 100.74 × 47.14
  4. Step 4: Simplify right side
    73x = 4,748.88
  5. Step 5: Solve for x
    x = 4,748.88/73
  6. Step 6: Final answer
    x = 65.05

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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.