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Finding the Fourth Proportional to 112.50, 155.26 and 73.78

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Solution

The fourth proportional to 112.50, 155.26 and 73.78 is: 101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.50 : 155.26 = 73.78 : x
  2. Step 2: Convert to fraction form
    112.50/155.26 = 73.78/x
  3. Step 3: Cross multiply
    112.50x = 155.26 × 73.78
  4. Step 4: Simplify right side
    112.50x = 11,455.08
  5. Step 5: Solve for x
    x = 11,455.08/112.50
  6. Step 6: Final answer
    x = 101.82

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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.