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Finding the Fourth Proportional to 97.68, 146.58 and 63.42

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Solution

The fourth proportional to 97.68, 146.58 and 63.42 is: 95.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.68 : 146.58 = 63.42 : x
  2. Step 2: Convert to fraction form
    97.68/146.58 = 63.42/x
  3. Step 3: Cross multiply
    97.68x = 146.58 × 63.42
  4. Step 4: Simplify right side
    97.68x = 9,296.10
  5. Step 5: Solve for x
    x = 9,296.10/97.68
  6. Step 6: Final answer
    x = 95.17

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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.