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Finding the Fourth Proportional to 97.33, 145.89 and 58.24

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Solution

The fourth proportional to 97.33, 145.89 and 58.24 is: 87.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.33 : 145.89 = 58.24 : x
  2. Step 2: Convert to fraction form
    97.33/145.89 = 58.24/x
  3. Step 3: Cross multiply
    97.33x = 145.89 × 58.24
  4. Step 4: Simplify right side
    97.33x = 8,497.14
  5. Step 5: Solve for x
    x = 8,497.14/97.33
  6. Step 6: Final answer
    x = 87.31

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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.