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Finding the Fourth Proportional to 97.33, 146.07 and 58.86

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Solution

The fourth proportional to 97.33, 146.07 and 58.86 is: 88.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.33 : 146.07 = 58.86 : x
  2. Step 2: Convert to fraction form
    97.33/146.07 = 58.86/x
  3. Step 3: Cross multiply
    97.33x = 146.07 × 58.86
  4. Step 4: Simplify right side
    97.33x = 8,597.68
  5. Step 5: Solve for x
    x = 8,597.68/97.33
  6. Step 6: Final answer
    x = 88.34

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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.