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Finding the Fourth Proportional to 157.80, 217.65 and 112.92

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Solution

The fourth proportional to 157.80, 217.65 and 112.92 is: 155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.80 : 217.65 = 112.92 : x
  2. Step 2: Convert to fraction form
    157.80/217.65 = 112.92/x
  3. Step 3: Cross multiply
    157.80x = 217.65 × 112.92
  4. Step 4: Simplify right side
    157.80x = 24,577.04
  5. Step 5: Solve for x
    x = 24,577.04/157.80
  6. Step 6: Final answer
    x = 155.75

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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.