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Finding the Fourth Proportional to 128.38, 191.57 and 123.93

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Solution

The fourth proportional to 128.38, 191.57 and 123.93 is: 184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.38 : 191.57 = 123.93 : x
  2. Step 2: Convert to fraction form
    128.38/191.57 = 123.93/x
  3. Step 3: Cross multiply
    128.38x = 191.57 × 123.93
  4. Step 4: Simplify right side
    128.38x = 23,741.27
  5. Step 5: Solve for x
    x = 23,741.27/128.38
  6. Step 6: Final answer
    x = 184.93

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