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Finding the Fourth Proportional to 128.86, 177.93 and 99.70

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Solution

The fourth proportional to 128.86, 177.93 and 99.70 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.86 : 177.93 = 99.70 : x
  2. Step 2: Convert to fraction form
    128.86/177.93 = 99.70/x
  3. Step 3: Cross multiply
    128.86x = 177.93 × 99.70
  4. Step 4: Simplify right side
    128.86x = 17,739.62
  5. Step 5: Solve for x
    x = 17,739.62/128.86
  6. Step 6: Final answer
    x = 137.67

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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.