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Finding the Fourth Proportional to 157.85, 237.10 and 106.55

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Solution

The fourth proportional to 157.85, 237.10 and 106.55 is: 160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.85 : 237.10 = 106.55 : x
  2. Step 2: Convert to fraction form
    157.85/237.10 = 106.55/x
  3. Step 3: Cross multiply
    157.85x = 237.10 × 106.55
  4. Step 4: Simplify right side
    157.85x = 25,263.01
  5. Step 5: Solve for x
    x = 25,263.01/157.85
  6. Step 6: Final answer
    x = 160.04

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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.