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Finding the Fourth Proportional to 154.48, 212.64 and 136.66

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Solution

The fourth proportional to 154.48, 212.64 and 136.66 is: 188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.48 : 212.64 = 136.66 : x
  2. Step 2: Convert to fraction form
    154.48/212.64 = 136.66/x
  3. Step 3: Cross multiply
    154.48x = 212.64 × 136.66
  4. Step 4: Simplify right side
    154.48x = 29,059.38
  5. Step 5: Solve for x
    x = 29,059.38/154.48
  6. Step 6: Final answer
    x = 188.11

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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.