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Finding the Fourth Proportional to 149.72, 224.53 and 47.03

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Solution

The fourth proportional to 149.72, 224.53 and 47.03 is: 70.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.72 : 224.53 = 47.03 : x
  2. Step 2: Convert to fraction form
    149.72/224.53 = 47.03/x
  3. Step 3: Cross multiply
    149.72x = 224.53 × 47.03
  4. Step 4: Simplify right side
    149.72x = 10,558.41
  5. Step 5: Solve for x
    x = 10,558.41/149.72
  6. Step 6: Final answer
    x = 70.52

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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.