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Finding the Fourth Proportional to 106, 157.94 and 99.79

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Solution

The fourth proportional to 106, 157.94 and 99.79 is: 148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 157.94 = 99.79 : x
  2. Step 2: Convert to fraction form
    106/157.94 = 99.79/x
  3. Step 3: Cross multiply
    106x = 157.94 × 99.79
  4. Step 4: Simplify right side
    106x = 15,760.83
  5. Step 5: Solve for x
    x = 15,760.83/106
  6. Step 6: Final answer
    x = 148.69

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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.