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Finding the Fourth Proportional to 149.60, 206.72 and 117.10

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Solution

The fourth proportional to 149.60, 206.72 and 117.10 is: 161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.60 : 206.72 = 117.10 : x
  2. Step 2: Convert to fraction form
    149.60/206.72 = 117.10/x
  3. Step 3: Cross multiply
    149.60x = 206.72 × 117.10
  4. Step 4: Simplify right side
    149.60x = 24,207.02
  5. Step 5: Solve for x
    x = 24,207.02/149.60
  6. Step 6: Final answer
    x = 161.81

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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.