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Finding the Fourth Proportional to 147.17, 220.76 and 83.09

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Solution

The fourth proportional to 147.17, 220.76 and 83.09 is: 124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.17 : 220.76 = 83.09 : x
  2. Step 2: Convert to fraction form
    147.17/220.76 = 83.09/x
  3. Step 3: Cross multiply
    147.17x = 220.76 × 83.09
  4. Step 4: Simplify right side
    147.17x = 18,342.53
  5. Step 5: Solve for x
    x = 18,342.53/147.17
  6. Step 6: Final answer
    x = 124.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.