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Finding the Fourth Proportional to 92.48, 138.73 and 24.01

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Solution

The fourth proportional to 92.48, 138.73 and 24.01 is: 36.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.48 : 138.73 = 24.01 : x
  2. Step 2: Convert to fraction form
    92.48/138.73 = 24.01/x
  3. Step 3: Cross multiply
    92.48x = 138.73 × 24.01
  4. Step 4: Simplify right side
    92.48x = 3,330.09
  5. Step 5: Solve for x
    x = 3,330.09/92.48
  6. Step 6: Final answer
    x = 36.01

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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.