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Finding the Fourth Proportional to 149.66, 206.58 and 97.16

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Solution

The fourth proportional to 149.66, 206.58 and 97.16 is: 134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.66 : 206.58 = 97.16 : x
  2. Step 2: Convert to fraction form
    149.66/206.58 = 97.16/x
  3. Step 3: Cross multiply
    149.66x = 206.58 × 97.16
  4. Step 4: Simplify right side
    149.66x = 20,071.31
  5. Step 5: Solve for x
    x = 20,071.31/149.66
  6. Step 6: Final answer
    x = 134.11

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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.