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Finding the Fourth Proportional to 97.14, 145.74 and 48.41

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Solution

The fourth proportional to 97.14, 145.74 and 48.41 is: 72.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.14 : 145.74 = 48.41 : x
  2. Step 2: Convert to fraction form
    97.14/145.74 = 48.41/x
  3. Step 3: Cross multiply
    97.14x = 145.74 × 48.41
  4. Step 4: Simplify right side
    97.14x = 7,054.54
  5. Step 5: Solve for x
    x = 7,054.54/97.14
  6. Step 6: Final answer
    x = 72.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.