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Finding the Fourth Proportional to 100.39, 150.47 and 54.72

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Solution

The fourth proportional to 100.39, 150.47 and 54.72 is: 82.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.39 : 150.47 = 54.72 : x
  2. Step 2: Convert to fraction form
    100.39/150.47 = 54.72/x
  3. Step 3: Cross multiply
    100.39x = 150.47 × 54.72
  4. Step 4: Simplify right side
    100.39x = 8,233.72
  5. Step 5: Solve for x
    x = 8,233.72/100.39
  6. Step 6: Final answer
    x = 82.02

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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.