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Finding the Fourth Proportional to 115.79, 159.84 and 88.23

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Solution

The fourth proportional to 115.79, 159.84 and 88.23 is: 121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.79 : 159.84 = 88.23 : x
  2. Step 2: Convert to fraction form
    115.79/159.84 = 88.23/x
  3. Step 3: Cross multiply
    115.79x = 159.84 × 88.23
  4. Step 4: Simplify right side
    115.79x = 14,102.68
  5. Step 5: Solve for x
    x = 14,102.68/115.79
  6. Step 6: Final answer
    x = 121.80

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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.