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Finding the Fourth Proportional to 153.54, 229.94 and 99.28

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Solution

The fourth proportional to 153.54, 229.94 and 99.28 is: 148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 229.94 = 99.28 : x
  2. Step 2: Convert to fraction form
    153.54/229.94 = 99.28/x
  3. Step 3: Cross multiply
    153.54x = 229.94 × 99.28
  4. Step 4: Simplify right side
    153.54x = 22,828.44
  5. Step 5: Solve for x
    x = 22,828.44/153.54
  6. Step 6: Final answer
    x = 148.68

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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.