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Finding the Fourth Proportional to 113.02, 169.59 and 52.12

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Solution

The fourth proportional to 113.02, 169.59 and 52.12 is: 78.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.02 : 169.59 = 52.12 : x
  2. Step 2: Convert to fraction form
    113.02/169.59 = 52.12/x
  3. Step 3: Cross multiply
    113.02x = 169.59 × 52.12
  4. Step 4: Simplify right side
    113.02x = 8,839.03
  5. Step 5: Solve for x
    x = 8,839.03/113.02
  6. Step 6: Final answer
    x = 78.21

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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.