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Finding the Fourth Proportional to 157.92, 217.80 and 123.36

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Solution

The fourth proportional to 157.92, 217.80 and 123.36 is: 170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.92 : 217.80 = 123.36 : x
  2. Step 2: Convert to fraction form
    157.92/217.80 = 123.36/x
  3. Step 3: Cross multiply
    157.92x = 217.80 × 123.36
  4. Step 4: Simplify right side
    157.92x = 26,867.81
  5. Step 5: Solve for x
    x = 26,867.81/157.92
  6. Step 6: Final answer
    x = 170.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.