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Finding the Fourth Proportional to 149.52, 206.46 and 97.10

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Solution

The fourth proportional to 149.52, 206.46 and 97.10 is: 134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.52 : 206.46 = 97.10 : x
  2. Step 2: Convert to fraction form
    149.52/206.46 = 97.10/x
  3. Step 3: Cross multiply
    149.52x = 206.46 × 97.10
  4. Step 4: Simplify right side
    149.52x = 20,047.27
  5. Step 5: Solve for x
    x = 20,047.27/149.52
  6. Step 6: Final answer
    x = 134.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.