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Finding the Fourth Proportional to 106.65, 160.04 and 60.37

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Solution

The fourth proportional to 106.65, 160.04 and 60.37 is: 90.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.65 : 160.04 = 60.37 : x
  2. Step 2: Convert to fraction form
    106.65/160.04 = 60.37/x
  3. Step 3: Cross multiply
    106.65x = 160.04 × 60.37
  4. Step 4: Simplify right side
    106.65x = 9,661.61
  5. Step 5: Solve for x
    x = 9,661.61/106.65
  6. Step 6: Final answer
    x = 90.59

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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.