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Finding the Fourth Proportional to 106.41, 159.65 and 55.10

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Solution

The fourth proportional to 106.41, 159.65 and 55.10 is: 82.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.41 : 159.65 = 55.10 : x
  2. Step 2: Convert to fraction form
    106.41/159.65 = 55.10/x
  3. Step 3: Cross multiply
    106.41x = 159.65 × 55.10
  4. Step 4: Simplify right side
    106.41x = 8,795.64
  5. Step 5: Solve for x
    x = 8,795.64/106.41
  6. Step 6: Final answer
    x = 82.66

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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.