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Finding the Fourth Proportional to 113.34, 170.06 and 74.80

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Solution

The fourth proportional to 113.34, 170.06 and 74.80 is: 112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.34 : 170.06 = 74.80 : x
  2. Step 2: Convert to fraction form
    113.34/170.06 = 74.80/x
  3. Step 3: Cross multiply
    113.34x = 170.06 × 74.80
  4. Step 4: Simplify right side
    113.34x = 12,720.49
  5. Step 5: Solve for x
    x = 12,720.49/113.34
  6. Step 6: Final answer
    x = 112.23

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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.