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Finding the Fourth Proportional to 98.28, 147.54 and 67.56

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Solution

The fourth proportional to 98.28, 147.54 and 67.56 is: 101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.28 : 147.54 = 67.56 : x
  2. Step 2: Convert to fraction form
    98.28/147.54 = 67.56/x
  3. Step 3: Cross multiply
    98.28x = 147.54 × 67.56
  4. Step 4: Simplify right side
    98.28x = 9,967.80
  5. Step 5: Solve for x
    x = 9,967.80/98.28
  6. Step 6: Final answer
    x = 101.42

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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.