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Finding the Fourth Proportional to 149.17, 205.64 and 116.02

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Solution

The fourth proportional to 149.17, 205.64 and 116.02 is: 159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.17 : 205.64 = 116.02 : x
  2. Step 2: Convert to fraction form
    149.17/205.64 = 116.02/x
  3. Step 3: Cross multiply
    149.17x = 205.64 × 116.02
  4. Step 4: Simplify right side
    149.17x = 23,856.74
  5. Step 5: Solve for x
    x = 23,856.74/149.17
  6. Step 6: Final answer
    x = 159.94

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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.