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Finding the Fourth Proportional to 151.84, 227.76 and 55.64

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Solution

The fourth proportional to 151.84, 227.76 and 55.64 is: 83.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.84 : 227.76 = 55.64 : x
  2. Step 2: Convert to fraction form
    151.84/227.76 = 55.64/x
  3. Step 3: Cross multiply
    151.84x = 227.76 × 55.64
  4. Step 4: Simplify right side
    151.84x = 12,672.57
  5. Step 5: Solve for x
    x = 12,672.57/151.84
  6. Step 6: Final answer
    x = 83.46

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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.