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Finding the Fourth Proportional to 113.64, 169.56 and 105

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Solution

The fourth proportional to 113.64, 169.56 and 105 is: 156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.64 : 169.56 = 105 : x
  2. Step 2: Convert to fraction form
    113.64/169.56 = 105/x
  3. Step 3: Cross multiply
    113.64x = 169.56 × 105
  4. Step 4: Simplify right side
    113.64x = 17,803.80
  5. Step 5: Solve for x
    x = 17,803.80/113.64
  6. Step 6: Final answer
    x = 156.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.