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Finding the Fourth Proportional to 99.99, 149.76 and 79.74

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Solution

The fourth proportional to 99.99, 149.76 and 79.74 is: 119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.99 : 149.76 = 79.74 : x
  2. Step 2: Convert to fraction form
    99.99/149.76 = 79.74/x
  3. Step 3: Cross multiply
    99.99x = 149.76 × 79.74
  4. Step 4: Simplify right side
    99.99x = 11,941.86
  5. Step 5: Solve for x
    x = 11,941.86/99.99
  6. Step 6: Final answer
    x = 119.43

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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.