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Finding the Fourth Proportional to 149.60, 224.04 and 106.16

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Solution

The fourth proportional to 149.60, 224.04 and 106.16 is: 158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.60 : 224.04 = 106.16 : x
  2. Step 2: Convert to fraction form
    149.60/224.04 = 106.16/x
  3. Step 3: Cross multiply
    149.60x = 224.04 × 106.16
  4. Step 4: Simplify right side
    149.60x = 23,784.09
  5. Step 5: Solve for x
    x = 23,784.09/149.60
  6. Step 6: Final answer
    x = 158.98

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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.