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Finding the Fourth Proportional to 105.13, 157.54 and 82.19

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Solution

The fourth proportional to 105.13, 157.54 and 82.19 is: 123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.13 : 157.54 = 82.19 : x
  2. Step 2: Convert to fraction form
    105.13/157.54 = 82.19/x
  3. Step 3: Cross multiply
    105.13x = 157.54 × 82.19
  4. Step 4: Simplify right side
    105.13x = 12,948.21
  5. Step 5: Solve for x
    x = 12,948.21/105.13
  6. Step 6: Final answer
    x = 123.16

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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.