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Finding the Fourth Proportional to 100.52, 150.77 and 49.26

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Solution

The fourth proportional to 100.52, 150.77 and 49.26 is: 73.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.52 : 150.77 = 49.26 : x
  2. Step 2: Convert to fraction form
    100.52/150.77 = 49.26/x
  3. Step 3: Cross multiply
    100.52x = 150.77 × 49.26
  4. Step 4: Simplify right side
    100.52x = 7,426.68
  5. Step 5: Solve for x
    x = 7,426.68/100.52
  6. Step 6: Final answer
    x = 73.89

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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.