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Finding the Fourth Proportional to 128.98, 178.10 and 99.82

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Solution

The fourth proportional to 128.98, 178.10 and 99.82 is: 137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.98 : 178.10 = 99.82 : x
  2. Step 2: Convert to fraction form
    128.98/178.10 = 99.82/x
  3. Step 3: Cross multiply
    128.98x = 178.10 × 99.82
  4. Step 4: Simplify right side
    128.98x = 17,777.94
  5. Step 5: Solve for x
    x = 17,777.94/128.98
  6. Step 6: Final answer
    x = 137.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.