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Finding the Fourth Proportional to 154.92, 214.02 and 135.72

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Solution

The fourth proportional to 154.92, 214.02 and 135.72 is: 187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.92 : 214.02 = 135.72 : x
  2. Step 2: Convert to fraction form
    154.92/214.02 = 135.72/x
  3. Step 3: Cross multiply
    154.92x = 214.02 × 135.72
  4. Step 4: Simplify right side
    154.92x = 29,046.79
  5. Step 5: Solve for x
    x = 29,046.79/154.92
  6. Step 6: Final answer
    x = 187.50

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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.