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Finding the Fourth Proportional to 113.16, 169.68 and 49

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Solution

The fourth proportional to 113.16, 169.68 and 49 is: 73.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.16 : 169.68 = 49 : x
  2. Step 2: Convert to fraction form
    113.16/169.68 = 49/x
  3. Step 3: Cross multiply
    113.16x = 169.68 × 49
  4. Step 4: Simplify right side
    113.16x = 8,314.32
  5. Step 5: Solve for x
    x = 8,314.32/113.16
  6. Step 6: Final answer
    x = 73.47

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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.