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Finding the Fourth Proportional to 128.60, 192.49 and 85.17

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Solution

The fourth proportional to 128.60, 192.49 and 85.17 is: 127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.60 : 192.49 = 85.17 : x
  2. Step 2: Convert to fraction form
    128.60/192.49 = 85.17/x
  3. Step 3: Cross multiply
    128.60x = 192.49 × 85.17
  4. Step 4: Simplify right side
    128.60x = 16,394.16
  5. Step 5: Solve for x
    x = 16,394.16/128.60
  6. Step 6: Final answer
    x = 127.49

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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.