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Finding the Fourth Proportional to 100.15, 149.96 and 65.82

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Solution

The fourth proportional to 100.15, 149.96 and 65.82 is: 98.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.15 : 149.96 = 65.82 : x
  2. Step 2: Convert to fraction form
    100.15/149.96 = 65.82/x
  3. Step 3: Cross multiply
    100.15x = 149.96 × 65.82
  4. Step 4: Simplify right side
    100.15x = 9,870.04
  5. Step 5: Solve for x
    x = 9,870.04/100.15
  6. Step 6: Final answer
    x = 98.56

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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.