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Finding the Fourth Proportional to 100.78, 151.28 and 55.22

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Solution

The fourth proportional to 100.78, 151.28 and 55.22 is: 82.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.78 : 151.28 = 55.22 : x
  2. Step 2: Convert to fraction form
    100.78/151.28 = 55.22/x
  3. Step 3: Cross multiply
    100.78x = 151.28 × 55.22
  4. Step 4: Simplify right side
    100.78x = 8,353.41
  5. Step 5: Solve for x
    x = 8,353.41/100.78
  6. Step 6: Final answer
    x = 82.89

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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.