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Finding the Fourth Proportional to 128.90, 192.52 and 105.68

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Solution

The fourth proportional to 128.90, 192.52 and 105.68 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.90 : 192.52 = 105.68 : x
  2. Step 2: Convert to fraction form
    128.90/192.52 = 105.68/x
  3. Step 3: Cross multiply
    128.90x = 192.52 × 105.68
  4. Step 4: Simplify right side
    128.90x = 20,345.51
  5. Step 5: Solve for x
    x = 20,345.51/128.90
  6. Step 6: Final answer
    x = 157.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.