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Finding the Fourth Proportional to 115.65, 173.05 and 85.14

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Solution

The fourth proportional to 115.65, 173.05 and 85.14 is: 127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.65 : 173.05 = 85.14 : x
  2. Step 2: Convert to fraction form
    115.65/173.05 = 85.14/x
  3. Step 3: Cross multiply
    115.65x = 173.05 × 85.14
  4. Step 4: Simplify right side
    115.65x = 14,733.48
  5. Step 5: Solve for x
    x = 14,733.48/115.65
  6. Step 6: Final answer
    x = 127.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.