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Finding the Fourth Proportional to 97.64, 146.48 and 59.15

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Solution

The fourth proportional to 97.64, 146.48 and 59.15 is: 88.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.64 : 146.48 = 59.15 : x
  2. Step 2: Convert to fraction form
    97.64/146.48 = 59.15/x
  3. Step 3: Cross multiply
    97.64x = 146.48 × 59.15
  4. Step 4: Simplify right side
    97.64x = 8,664.00
  5. Step 5: Solve for x
    x = 8,664.00/97.64
  6. Step 6: Final answer
    x = 88.73

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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.