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Finding the Fourth Proportional to 115.76, 174.39 and 97.54

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Solution

The fourth proportional to 115.76, 174.39 and 97.54 is: 146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.76 : 174.39 = 97.54 : x
  2. Step 2: Convert to fraction form
    115.76/174.39 = 97.54/x
  3. Step 3: Cross multiply
    115.76x = 174.39 × 97.54
  4. Step 4: Simplify right side
    115.76x = 17,009.20
  5. Step 5: Solve for x
    x = 17,009.20/115.76
  6. Step 6: Final answer
    x = 146.93

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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.