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Finding the Fourth Proportional to 149.81, 206.75 and 84.32

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Solution

The fourth proportional to 149.81, 206.75 and 84.32 is: 116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.81 : 206.75 = 84.32 : x
  2. Step 2: Convert to fraction form
    149.81/206.75 = 84.32/x
  3. Step 3: Cross multiply
    149.81x = 206.75 × 84.32
  4. Step 4: Simplify right side
    149.81x = 17,432.34
  5. Step 5: Solve for x
    x = 17,432.34/149.81
  6. Step 6: Final answer
    x = 116.36

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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.