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Finding the Fourth Proportional to 100.02, 149.91 and 77.28

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Solution

The fourth proportional to 100.02, 149.91 and 77.28 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 149.91 = 77.28 : x
  2. Step 2: Convert to fraction form
    100.02/149.91 = 77.28/x
  3. Step 3: Cross multiply
    100.02x = 149.91 × 77.28
  4. Step 4: Simplify right side
    100.02x = 11,585.04
  5. Step 5: Solve for x
    x = 11,585.04/100.02
  6. Step 6: Final answer
    x = 115.83

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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.