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Finding the Fourth Proportional to 153.01, 229.02 and 98.09

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Solution

The fourth proportional to 153.01, 229.02 and 98.09 is: 146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.01 : 229.02 = 98.09 : x
  2. Step 2: Convert to fraction form
    153.01/229.02 = 98.09/x
  3. Step 3: Cross multiply
    153.01x = 229.02 × 98.09
  4. Step 4: Simplify right side
    153.01x = 22,464.72
  5. Step 5: Solve for x
    x = 22,464.72/153.01
  6. Step 6: Final answer
    x = 146.82

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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.