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Finding the Fourth Proportional to 115.54, 174.08 and 95.69

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Solution

The fourth proportional to 115.54, 174.08 and 95.69 is: 144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.54 : 174.08 = 95.69 : x
  2. Step 2: Convert to fraction form
    115.54/174.08 = 95.69/x
  3. Step 3: Cross multiply
    115.54x = 174.08 × 95.69
  4. Step 4: Simplify right side
    115.54x = 16,657.72
  5. Step 5: Solve for x
    x = 16,657.72/115.54
  6. Step 6: Final answer
    x = 144.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.