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Finding the Fourth Proportional to 113.77, 170.75 and 45.32

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Solution

The fourth proportional to 113.77, 170.75 and 45.32 is: 68.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.77 : 170.75 = 45.32 : x
  2. Step 2: Convert to fraction form
    113.77/170.75 = 45.32/x
  3. Step 3: Cross multiply
    113.77x = 170.75 × 45.32
  4. Step 4: Simplify right side
    113.77x = 7,738.93
  5. Step 5: Solve for x
    x = 7,738.93/113.77
  6. Step 6: Final answer
    x = 68.02

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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.