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Finding the Fourth Proportional to 100.99, 150.64 and 98.83

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Solution

The fourth proportional to 100.99, 150.64 and 98.83 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.99 : 150.64 = 98.83 : x
  2. Step 2: Convert to fraction form
    100.99/150.64 = 98.83/x
  3. Step 3: Cross multiply
    100.99x = 150.64 × 98.83
  4. Step 4: Simplify right side
    100.99x = 14,887.75
  5. Step 5: Solve for x
    x = 14,887.75/100.99
  6. Step 6: Final answer
    x = 147.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.