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Finding the Fourth Proportional to 149.56, 206.32 and 97.16

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Solution

The fourth proportional to 149.56, 206.32 and 97.16 is: 134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.56 : 206.32 = 97.16 : x
  2. Step 2: Convert to fraction form
    149.56/206.32 = 97.16/x
  3. Step 3: Cross multiply
    149.56x = 206.32 × 97.16
  4. Step 4: Simplify right side
    149.56x = 20,045.81
  5. Step 5: Solve for x
    x = 20,045.81/149.56
  6. Step 6: Final answer
    x = 134.03

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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.