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Finding the Fourth Proportional to 97.48, 146.34 and 83.14

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Solution

The fourth proportional to 97.48, 146.34 and 83.14 is: 124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.48 : 146.34 = 83.14 : x
  2. Step 2: Convert to fraction form
    97.48/146.34 = 83.14/x
  3. Step 3: Cross multiply
    97.48x = 146.34 × 83.14
  4. Step 4: Simplify right side
    97.48x = 12,166.71
  5. Step 5: Solve for x
    x = 12,166.71/97.48
  6. Step 6: Final answer
    x = 124.81

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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.