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Finding the Fourth Proportional to 136.98, 204.40 and 120.58

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Solution

The fourth proportional to 136.98, 204.40 and 120.58 is: 179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.98 : 204.40 = 120.58 : x
  2. Step 2: Convert to fraction form
    136.98/204.40 = 120.58/x
  3. Step 3: Cross multiply
    136.98x = 204.40 × 120.58
  4. Step 4: Simplify right side
    136.98x = 24,646.55
  5. Step 5: Solve for x
    x = 24,646.55/136.98
  6. Step 6: Final answer
    x = 179.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.