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Finding the Fourth Proportional to 136.71, 188.68 and 99.82

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Solution

The fourth proportional to 136.71, 188.68 and 99.82 is: 137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.71 : 188.68 = 99.82 : x
  2. Step 2: Convert to fraction form
    136.71/188.68 = 99.82/x
  3. Step 3: Cross multiply
    136.71x = 188.68 × 99.82
  4. Step 4: Simplify right side
    136.71x = 18,834.04
  5. Step 5: Solve for x
    x = 18,834.04/136.71
  6. Step 6: Final answer
    x = 137.77

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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.