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Finding the Fourth Proportional to 158.12, 237.07 and 106.80

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Solution

The fourth proportional to 158.12, 237.07 and 106.80 is: 160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.12 : 237.07 = 106.80 : x
  2. Step 2: Convert to fraction form
    158.12/237.07 = 106.80/x
  3. Step 3: Cross multiply
    158.12x = 237.07 × 106.80
  4. Step 4: Simplify right side
    158.12x = 25,319.08
  5. Step 5: Solve for x
    x = 25,319.08/158.12
  6. Step 6: Final answer
    x = 160.13

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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.