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Finding the Fourth Proportional to 136.59, 188.31 and 99.75

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Solution

The fourth proportional to 136.59, 188.31 and 99.75 is: 137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.59 : 188.31 = 99.75 : x
  2. Step 2: Convert to fraction form
    136.59/188.31 = 99.75/x
  3. Step 3: Cross multiply
    136.59x = 188.31 × 99.75
  4. Step 4: Simplify right side
    136.59x = 18,783.92
  5. Step 5: Solve for x
    x = 18,783.92/136.59
  6. Step 6: Final answer
    x = 137.52

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Why These Related Problems?

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