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Finding the Fourth Proportional to 149.34, 224.08 and 91.64

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Solution

The fourth proportional to 149.34, 224.08 and 91.64 is: 137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.34 : 224.08 = 91.64 : x
  2. Step 2: Convert to fraction form
    149.34/224.08 = 91.64/x
  3. Step 3: Cross multiply
    149.34x = 224.08 × 91.64
  4. Step 4: Simplify right side
    149.34x = 20,534.69
  5. Step 5: Solve for x
    x = 20,534.69/149.34
  6. Step 6: Final answer
    x = 137.50

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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.