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Finding the Fourth Proportional to 97.20, 146.48 and 95.30

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Solution

The fourth proportional to 97.20, 146.48 and 95.30 is: 143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.20 : 146.48 = 95.30 : x
  2. Step 2: Convert to fraction form
    97.20/146.48 = 95.30/x
  3. Step 3: Cross multiply
    97.20x = 146.48 × 95.30
  4. Step 4: Simplify right side
    97.20x = 13,960.10
  5. Step 5: Solve for x
    x = 13,960.10/97.20
  6. Step 6: Final answer
    x = 143.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.