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Finding the Fourth Proportional to 97.38, 146.08 and 46.01

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Solution

The fourth proportional to 97.38, 146.08 and 46.01 is: 69.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.38 : 146.08 = 46.01 : x
  2. Step 2: Convert to fraction form
    97.38/146.08 = 46.01/x
  3. Step 3: Cross multiply
    97.38x = 146.08 × 46.01
  4. Step 4: Simplify right side
    97.38x = 6,721.14
  5. Step 5: Solve for x
    x = 6,721.14/97.38
  6. Step 6: Final answer
    x = 69.02

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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.