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Finding the Fourth Proportional to 97.68, 146.24 and 78.24

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Solution

The fourth proportional to 97.68, 146.24 and 78.24 is: 117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.68 : 146.24 = 78.24 : x
  2. Step 2: Convert to fraction form
    97.68/146.24 = 78.24/x
  3. Step 3: Cross multiply
    97.68x = 146.24 × 78.24
  4. Step 4: Simplify right side
    97.68x = 11,441.82
  5. Step 5: Solve for x
    x = 11,441.82/97.68
  6. Step 6: Final answer
    x = 117.14

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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.