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Finding the Fourth Proportional to 97.24, 145.83 and 66.87

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Solution

The fourth proportional to 97.24, 145.83 and 66.87 is: 100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.24 : 145.83 = 66.87 : x
  2. Step 2: Convert to fraction form
    97.24/145.83 = 66.87/x
  3. Step 3: Cross multiply
    97.24x = 145.83 × 66.87
  4. Step 4: Simplify right side
    97.24x = 9,751.65
  5. Step 5: Solve for x
    x = 9,751.65/97.24
  6. Step 6: Final answer
    x = 100.28

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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.