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Finding the Fourth Proportional to 159.57, 219.98 and 112.80

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Solution

The fourth proportional to 159.57, 219.98 and 112.80 is: 155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.57 : 219.98 = 112.80 : x
  2. Step 2: Convert to fraction form
    159.57/219.98 = 112.80/x
  3. Step 3: Cross multiply
    159.57x = 219.98 × 112.80
  4. Step 4: Simplify right side
    159.57x = 24,814.00
  5. Step 5: Solve for x
    x = 24,814.00/159.57
  6. Step 6: Final answer
    x = 155.50

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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.