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Finding the Fourth Proportional to 128.16, 192.29 and 55.98

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Solution

The fourth proportional to 128.16, 192.29 and 55.98 is: 83.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.16 : 192.29 = 55.98 : x
  2. Step 2: Convert to fraction form
    128.16/192.29 = 55.98/x
  3. Step 3: Cross multiply
    128.16x = 192.29 × 55.98
  4. Step 4: Simplify right side
    128.16x = 10,764.11
  5. Step 5: Solve for x
    x = 10,764.11/128.16
  6. Step 6: Final answer
    x = 83.99

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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.