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Finding the Fourth Proportional to 157.10, 235.21 and 105.64

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Solution

The fourth proportional to 157.10, 235.21 and 105.64 is: 158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.10 : 235.21 = 105.64 : x
  2. Step 2: Convert to fraction form
    157.10/235.21 = 105.64/x
  3. Step 3: Cross multiply
    157.10x = 235.21 × 105.64
  4. Step 4: Simplify right side
    157.10x = 24,847.06
  5. Step 5: Solve for x
    x = 24,847.06/157.10
  6. Step 6: Final answer
    x = 158.16

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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.