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Finding the Fourth Proportional to 136.46, 204.58 and 106.08

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Solution

The fourth proportional to 136.46, 204.58 and 106.08 is: 159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.46 : 204.58 = 106.08 : x
  2. Step 2: Convert to fraction form
    136.46/204.58 = 106.08/x
  3. Step 3: Cross multiply
    136.46x = 204.58 × 106.08
  4. Step 4: Simplify right side
    136.46x = 21,701.85
  5. Step 5: Solve for x
    x = 21,701.85/136.46
  6. Step 6: Final answer
    x = 159.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.