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Finding the Fourth Proportional to 106.02, 159.04 and 44.32

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Solution

The fourth proportional to 106.02, 159.04 and 44.32 is: 66.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.02 : 159.04 = 44.32 : x
  2. Step 2: Convert to fraction form
    106.02/159.04 = 44.32/x
  3. Step 3: Cross multiply
    106.02x = 159.04 × 44.32
  4. Step 4: Simplify right side
    106.02x = 7,048.65
  5. Step 5: Solve for x
    x = 7,048.65/106.02
  6. Step 6: Final answer
    x = 66.48

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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.