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Finding the Fourth Proportional to 153.37, 229.73 and 102.04

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Solution

The fourth proportional to 153.37, 229.73 and 102.04 is: 152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.37 : 229.73 = 102.04 : x
  2. Step 2: Convert to fraction form
    153.37/229.73 = 102.04/x
  3. Step 3: Cross multiply
    153.37x = 229.73 × 102.04
  4. Step 4: Simplify right side
    153.37x = 23,440.50
  5. Step 5: Solve for x
    x = 23,440.50/153.37
  6. Step 6: Final answer
    x = 152.84

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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.