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Finding the Fourth Proportional to 149.19, 223.82 and 53

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Solution

The fourth proportional to 149.19, 223.82 and 53 is: 79.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.19 : 223.82 = 53 : x
  2. Step 2: Convert to fraction form
    149.19/223.82 = 53/x
  3. Step 3: Cross multiply
    149.19x = 223.82 × 53
  4. Step 4: Simplify right side
    149.19x = 11,862.46
  5. Step 5: Solve for x
    x = 11,862.46/149.19
  6. Step 6: Final answer
    x = 79.51

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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.