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Finding the Fourth Proportional to 98.88, 148.28 and 30.38

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Solution

The fourth proportional to 98.88, 148.28 and 30.38 is: 45.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.88 : 148.28 = 30.38 : x
  2. Step 2: Convert to fraction form
    98.88/148.28 = 30.38/x
  3. Step 3: Cross multiply
    98.88x = 148.28 × 30.38
  4. Step 4: Simplify right side
    98.88x = 4,504.75
  5. Step 5: Solve for x
    x = 4,504.75/98.88
  6. Step 6: Final answer
    x = 45.56

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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.