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Finding the Fourth Proportional to 115.07, 158.74 and 77.71

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Solution

The fourth proportional to 115.07, 158.74 and 77.71 is: 107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.07 : 158.74 = 77.71 : x
  2. Step 2: Convert to fraction form
    115.07/158.74 = 77.71/x
  3. Step 3: Cross multiply
    115.07x = 158.74 × 77.71
  4. Step 4: Simplify right side
    115.07x = 12,335.69
  5. Step 5: Solve for x
    x = 12,335.69/115.07
  6. Step 6: Final answer
    x = 107.20

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Why These Related Problems?

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