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Finding the Fourth Proportional to 149.64, 224.42 and 52.14

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Solution

The fourth proportional to 149.64, 224.42 and 52.14 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.64 : 224.42 = 52.14 : x
  2. Step 2: Convert to fraction form
    149.64/224.42 = 52.14/x
  3. Step 3: Cross multiply
    149.64x = 224.42 × 52.14
  4. Step 4: Simplify right side
    149.64x = 11,701.26
  5. Step 5: Solve for x
    x = 11,701.26/149.64
  6. Step 6: Final answer
    x = 78.20

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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.