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Finding the Fourth Proportional to 113.25, 169.91 and 65.13

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Solution

The fourth proportional to 113.25, 169.91 and 65.13 is: 97.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.25 : 169.91 = 65.13 : x
  2. Step 2: Convert to fraction form
    113.25/169.91 = 65.13/x
  3. Step 3: Cross multiply
    113.25x = 169.91 × 65.13
  4. Step 4: Simplify right side
    113.25x = 11,066.24
  5. Step 5: Solve for x
    x = 11,066.24/113.25
  6. Step 6: Final answer
    x = 97.72

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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.