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Finding the Fourth Proportional to 65.01, 97.44 and 24.40

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Solution

The fourth proportional to 65.01, 97.44 and 24.40 is: 36.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.01 : 97.44 = 24.40 : x
  2. Step 2: Convert to fraction form
    65.01/97.44 = 24.40/x
  3. Step 3: Cross multiply
    65.01x = 97.44 × 24.40
  4. Step 4: Simplify right side
    65.01x = 2,377.54
  5. Step 5: Solve for x
    x = 2,377.54/65.01
  6. Step 6: Final answer
    x = 36.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.