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Finding the Fourth Proportional to 100, 149.76 and 54.24

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Solution

The fourth proportional to 100, 149.76 and 54.24 is: 81.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 149.76 = 54.24 : x
  2. Step 2: Convert to fraction form
    100/149.76 = 54.24/x
  3. Step 3: Cross multiply
    100x = 149.76 × 54.24
  4. Step 4: Simplify right side
    100x = 8,122.98
  5. Step 5: Solve for x
    x = 8,122.98/100
  6. Step 6: Final answer
    x = 81.23

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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.