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Finding the Fourth Proportional to 98.24, 146.28 and 97.02

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Solution

The fourth proportional to 98.24, 146.28 and 97.02 is: 144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.24 : 146.28 = 97.02 : x
  2. Step 2: Convert to fraction form
    98.24/146.28 = 97.02/x
  3. Step 3: Cross multiply
    98.24x = 146.28 × 97.02
  4. Step 4: Simplify right side
    98.24x = 14,192.09
  5. Step 5: Solve for x
    x = 14,192.09/98.24
  6. Step 6: Final answer
    x = 144.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.