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Finding the Fourth Proportional to 149.76, 206.76 and 97.35

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Solution

The fourth proportional to 149.76, 206.76 and 97.35 is: 134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.76 : 206.76 = 97.35 : x
  2. Step 2: Convert to fraction form
    149.76/206.76 = 97.35/x
  3. Step 3: Cross multiply
    149.76x = 206.76 × 97.35
  4. Step 4: Simplify right side
    149.76x = 20,128.09
  5. Step 5: Solve for x
    x = 20,128.09/149.76
  6. Step 6: Final answer
    x = 134.40

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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.