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Finding the Fourth Proportional to 106.01, 159.08 and 45.11

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Solution

The fourth proportional to 106.01, 159.08 and 45.11 is: 67.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.01 : 159.08 = 45.11 : x
  2. Step 2: Convert to fraction form
    106.01/159.08 = 45.11/x
  3. Step 3: Cross multiply
    106.01x = 159.08 × 45.11
  4. Step 4: Simplify right side
    106.01x = 7,175.08
  5. Step 5: Solve for x
    x = 7,175.08/106.01
  6. Step 6: Final answer
    x = 67.68

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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.