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Finding the Fourth Proportional to 149.29, 223.95 and 53.09

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Solution

The fourth proportional to 149.29, 223.95 and 53.09 is: 79.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.29 : 223.95 = 53.09 : x
  2. Step 2: Convert to fraction form
    149.29/223.95 = 53.09/x
  3. Step 3: Cross multiply
    149.29x = 223.95 × 53.09
  4. Step 4: Simplify right side
    149.29x = 11,889.51
  5. Step 5: Solve for x
    x = 11,889.51/149.29
  6. Step 6: Final answer
    x = 79.64

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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.