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Finding the Fourth Proportional to 106.46, 159.10 and 79.10

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Solution

The fourth proportional to 106.46, 159.10 and 79.10 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 159.10 = 79.10 : x
  2. Step 2: Convert to fraction form
    106.46/159.10 = 79.10/x
  3. Step 3: Cross multiply
    106.46x = 159.10 × 79.10
  4. Step 4: Simplify right side
    106.46x = 12,584.41
  5. Step 5: Solve for x
    x = 12,584.41/106.46
  6. Step 6: Final answer
    x = 118.21

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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.