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Finding the Fourth Proportional to 159.16, 237.77 and 113.15

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Solution

The fourth proportional to 159.16, 237.77 and 113.15 is: 169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.16 : 237.77 = 113.15 : x
  2. Step 2: Convert to fraction form
    159.16/237.77 = 113.15/x
  3. Step 3: Cross multiply
    159.16x = 237.77 × 113.15
  4. Step 4: Simplify right side
    159.16x = 26,903.68
  5. Step 5: Solve for x
    x = 26,903.68/159.16
  6. Step 6: Final answer
    x = 169.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.