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Finding the Fourth Proportional to 113.81, 170.90 and 95.51

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Solution

The fourth proportional to 113.81, 170.90 and 95.51 is: 143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.81 : 170.90 = 95.51 : x
  2. Step 2: Convert to fraction form
    113.81/170.90 = 95.51/x
  3. Step 3: Cross multiply
    113.81x = 170.90 × 95.51
  4. Step 4: Simplify right side
    113.81x = 16,322.66
  5. Step 5: Solve for x
    x = 16,322.66/113.81
  6. Step 6: Final answer
    x = 143.42

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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.