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Finding the Fourth Proportional to 113.75, 170.63 and 49.63

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Solution

The fourth proportional to 113.75, 170.63 and 49.63 is: 74.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.75 : 170.63 = 49.63 : x
  2. Step 2: Convert to fraction form
    113.75/170.63 = 49.63/x
  3. Step 3: Cross multiply
    113.75x = 170.63 × 49.63
  4. Step 4: Simplify right side
    113.75x = 8,468.37
  5. Step 5: Solve for x
    x = 8,468.37/113.75
  6. Step 6: Final answer
    x = 74.45

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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.