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Finding the Fourth Proportional to 128.81, 177.86 and 99.86

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Solution

The fourth proportional to 128.81, 177.86 and 99.86 is: 137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.81 : 177.86 = 99.86 : x
  2. Step 2: Convert to fraction form
    128.81/177.86 = 99.86/x
  3. Step 3: Cross multiply
    128.81x = 177.86 × 99.86
  4. Step 4: Simplify right side
    128.81x = 17,760.46
  5. Step 5: Solve for x
    x = 17,760.46/128.81
  6. Step 6: Final answer
    x = 137.88

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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.