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Finding the Fourth Proportional to 147.23, 220.70 and 82.17

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Solution

The fourth proportional to 147.23, 220.70 and 82.17 is: 123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.23 : 220.70 = 82.17 : x
  2. Step 2: Convert to fraction form
    147.23/220.70 = 82.17/x
  3. Step 3: Cross multiply
    147.23x = 220.70 × 82.17
  4. Step 4: Simplify right side
    147.23x = 18,133.96
  5. Step 5: Solve for x
    x = 18,133.96/147.23
  6. Step 6: Final answer
    x = 123.17

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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.