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Finding the Fourth Proportional to 106.74, 159.99 and 45.84

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Solution

The fourth proportional to 106.74, 159.99 and 45.84 is: 68.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.74 : 159.99 = 45.84 : x
  2. Step 2: Convert to fraction form
    106.74/159.99 = 45.84/x
  3. Step 3: Cross multiply
    106.74x = 159.99 × 45.84
  4. Step 4: Simplify right side
    106.74x = 7,333.14
  5. Step 5: Solve for x
    x = 7,333.14/106.74
  6. Step 6: Final answer
    x = 68.70

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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.