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Finding the Fourth Proportional to 98.04, 146.01 and 97.54

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Solution

The fourth proportional to 98.04, 146.01 and 97.54 is: 145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.04 : 146.01 = 97.54 : x
  2. Step 2: Convert to fraction form
    98.04/146.01 = 97.54/x
  3. Step 3: Cross multiply
    98.04x = 146.01 × 97.54
  4. Step 4: Simplify right side
    98.04x = 14,241.45
  5. Step 5: Solve for x
    x = 14,241.45/98.04
  6. Step 6: Final answer
    x = 145.26

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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.