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Finding the Fourth Proportional to 113.65, 170.54 and 45.20

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Solution

The fourth proportional to 113.65, 170.54 and 45.20 is: 67.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.65 : 170.54 = 45.20 : x
  2. Step 2: Convert to fraction form
    113.65/170.54 = 45.20/x
  3. Step 3: Cross multiply
    113.65x = 170.54 × 45.20
  4. Step 4: Simplify right side
    113.65x = 7,708.18
  5. Step 5: Solve for x
    x = 7,708.18/113.65
  6. Step 6: Final answer
    x = 67.83

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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.