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Finding the Fourth Proportional to 128.04, 192.30 and 97.68

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Solution

The fourth proportional to 128.04, 192.30 and 97.68 is: 146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.04 : 192.30 = 97.68 : x
  2. Step 2: Convert to fraction form
    128.04/192.30 = 97.68/x
  3. Step 3: Cross multiply
    128.04x = 192.30 × 97.68
  4. Step 4: Simplify right side
    128.04x = 18,783.86
  5. Step 5: Solve for x
    x = 18,783.86/128.04
  6. Step 6: Final answer
    x = 146.70

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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.