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Finding the Fourth Proportional to 133.36, 199.76 and 106.24

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Solution

The fourth proportional to 133.36, 199.76 and 106.24 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.36 : 199.76 = 106.24 : x
  2. Step 2: Convert to fraction form
    133.36/199.76 = 106.24/x
  3. Step 3: Cross multiply
    133.36x = 199.76 × 106.24
  4. Step 4: Simplify right side
    133.36x = 21,222.50
  5. Step 5: Solve for x
    x = 21,222.50/133.36
  6. Step 6: Final answer
    x = 159.14

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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.