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Finding the Fourth Proportional to 106.04, 159 and 37.54

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Solution

The fourth proportional to 106.04, 159 and 37.54 is: 56.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 159 = 37.54 : x
  2. Step 2: Convert to fraction form
    106.04/159 = 37.54/x
  3. Step 3: Cross multiply
    106.04x = 159 × 37.54
  4. Step 4: Simplify right side
    106.04x = 5,968.86
  5. Step 5: Solve for x
    x = 5,968.86/106.04
  6. Step 6: Final answer
    x = 56.29

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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.