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Finding the Fourth Proportional to 160.06, 240.04 and 106.24

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Solution

The fourth proportional to 160.06, 240.04 and 106.24 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.06 : 240.04 = 106.24 : x
  2. Step 2: Convert to fraction form
    160.06/240.04 = 106.24/x
  3. Step 3: Cross multiply
    160.06x = 240.04 × 106.24
  4. Step 4: Simplify right side
    160.06x = 25,501.85
  5. Step 5: Solve for x
    x = 25,501.85/160.06
  6. Step 6: Final answer
    x = 159.33

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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.