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Finding the Fourth Proportional to 99.93, 149.63 and 83.64

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Solution

The fourth proportional to 99.93, 149.63 and 83.64 is: 125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.93 : 149.63 = 83.64 : x
  2. Step 2: Convert to fraction form
    99.93/149.63 = 83.64/x
  3. Step 3: Cross multiply
    99.93x = 149.63 × 83.64
  4. Step 4: Simplify right side
    99.93x = 12,514.64
  5. Step 5: Solve for x
    x = 12,514.64/99.93
  6. Step 6: Final answer
    x = 125.23

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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.