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Finding the Fourth Proportional to 128.84, 192.29 and 116.54

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Solution

The fourth proportional to 128.84, 192.29 and 116.54 is: 173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.84 : 192.29 = 116.54 : x
  2. Step 2: Convert to fraction form
    128.84/192.29 = 116.54/x
  3. Step 3: Cross multiply
    128.84x = 192.29 × 116.54
  4. Step 4: Simplify right side
    128.84x = 22,407.93
  5. Step 5: Solve for x
    x = 22,407.93/128.84
  6. Step 6: Final answer
    x = 173.93

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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.