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Finding the Fourth Proportional to 136.54, 188.46 and 84.10

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Solution

The fourth proportional to 136.54, 188.46 and 84.10 is: 116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.54 : 188.46 = 84.10 : x
  2. Step 2: Convert to fraction form
    136.54/188.46 = 84.10/x
  3. Step 3: Cross multiply
    136.54x = 188.46 × 84.10
  4. Step 4: Simplify right side
    136.54x = 15,849.49
  5. Step 5: Solve for x
    x = 15,849.49/136.54
  6. Step 6: Final answer
    x = 116.08

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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.