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Finding the Fourth Proportional to 98.97, 148.46 and 30.50

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Solution

The fourth proportional to 98.97, 148.46 and 30.50 is: 45.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 148.46 = 30.50 : x
  2. Step 2: Convert to fraction form
    98.97/148.46 = 30.50/x
  3. Step 3: Cross multiply
    98.97x = 148.46 × 30.50
  4. Step 4: Simplify right side
    98.97x = 4,527.38
  5. Step 5: Solve for x
    x = 4,527.38/98.97
  6. Step 6: Final answer
    x = 45.74

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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.