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Finding the Fourth Proportional to 99.96, 150.67 and 97.80

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Solution

The fourth proportional to 99.96, 150.67 and 97.80 is: 147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.96 : 150.67 = 97.80 : x
  2. Step 2: Convert to fraction form
    99.96/150.67 = 97.80/x
  3. Step 3: Cross multiply
    99.96x = 150.67 × 97.80
  4. Step 4: Simplify right side
    99.96x = 14,735.53
  5. Step 5: Solve for x
    x = 14,735.53/99.96
  6. Step 6: Final answer
    x = 147.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.