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Finding the Fourth Proportional to 112.50, 155.38 and 88.23

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Solution

The fourth proportional to 112.50, 155.38 and 88.23 is: 121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.50 : 155.38 = 88.23 : x
  2. Step 2: Convert to fraction form
    112.50/155.38 = 88.23/x
  3. Step 3: Cross multiply
    112.50x = 155.38 × 88.23
  4. Step 4: Simplify right side
    112.50x = 13,709.18
  5. Step 5: Solve for x
    x = 13,709.18/112.50
  6. Step 6: Final answer
    x = 121.86

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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.