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Finding the Fourth Proportional to 97.24, 146.04 and 51.64

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Solution

The fourth proportional to 97.24, 146.04 and 51.64 is: 77.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.24 : 146.04 = 51.64 : x
  2. Step 2: Convert to fraction form
    97.24/146.04 = 51.64/x
  3. Step 3: Cross multiply
    97.24x = 146.04 × 51.64
  4. Step 4: Simplify right side
    97.24x = 7,541.51
  5. Step 5: Solve for x
    x = 7,541.51/97.24
  6. Step 6: Final answer
    x = 77.56

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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.