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Finding the Fourth Proportional to 157.56, 217.50 and 105.84

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Solution

The fourth proportional to 157.56, 217.50 and 105.84 is: 146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.56 : 217.50 = 105.84 : x
  2. Step 2: Convert to fraction form
    157.56/217.50 = 105.84/x
  3. Step 3: Cross multiply
    157.56x = 217.50 × 105.84
  4. Step 4: Simplify right side
    157.56x = 23,020.20
  5. Step 5: Solve for x
    x = 23,020.20/157.56
  6. Step 6: Final answer
    x = 146.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.