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Finding the Fourth Proportional to 97.88, 146.46 and 59.38

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Solution

The fourth proportional to 97.88, 146.46 and 59.38 is: 88.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.88 : 146.46 = 59.38 : x
  2. Step 2: Convert to fraction form
    97.88/146.46 = 59.38/x
  3. Step 3: Cross multiply
    97.88x = 146.46 × 59.38
  4. Step 4: Simplify right side
    97.88x = 8,696.79
  5. Step 5: Solve for x
    x = 8,696.79/97.88
  6. Step 6: Final answer
    x = 88.85

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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.