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Finding the Fourth Proportional to 97.86, 146.88 and 67.32

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Solution

The fourth proportional to 97.86, 146.88 and 67.32 is: 101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.86 : 146.88 = 67.32 : x
  2. Step 2: Convert to fraction form
    97.86/146.88 = 67.32/x
  3. Step 3: Cross multiply
    97.86x = 146.88 × 67.32
  4. Step 4: Simplify right side
    97.86x = 9,887.96
  5. Step 5: Solve for x
    x = 9,887.96/97.86
  6. Step 6: Final answer
    x = 101.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.