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Finding the Fourth Proportional to 115.74, 159.35 and 92.34

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Solution

The fourth proportional to 115.74, 159.35 and 92.34 is: 127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.74 : 159.35 = 92.34 : x
  2. Step 2: Convert to fraction form
    115.74/159.35 = 92.34/x
  3. Step 3: Cross multiply
    115.74x = 159.35 × 92.34
  4. Step 4: Simplify right side
    115.74x = 14,713.92
  5. Step 5: Solve for x
    x = 14,713.92/115.74
  6. Step 6: Final answer
    x = 127.13

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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.