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Finding the Fourth Proportional to 106.07, 159.15 and 37.64

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Solution

The fourth proportional to 106.07, 159.15 and 37.64 is: 56.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.07 : 159.15 = 37.64 : x
  2. Step 2: Convert to fraction form
    106.07/159.15 = 37.64/x
  3. Step 3: Cross multiply
    106.07x = 159.15 × 37.64
  4. Step 4: Simplify right side
    106.07x = 5,990.41
  5. Step 5: Solve for x
    x = 5,990.41/106.07
  6. Step 6: Final answer
    x = 56.48

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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.