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Finding the Fourth Proportional to 154.32, 212.67 and 136.86

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Solution

The fourth proportional to 154.32, 212.67 and 136.86 is: 188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.32 : 212.67 = 136.86 : x
  2. Step 2: Convert to fraction form
    154.32/212.67 = 136.86/x
  3. Step 3: Cross multiply
    154.32x = 212.67 × 136.86
  4. Step 4: Simplify right side
    154.32x = 29,106.02
  5. Step 5: Solve for x
    x = 29,106.02/154.32
  6. Step 6: Final answer
    x = 188.61

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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.