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Finding the Fourth Proportional to 65.51, 98.32 and 24.94

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Solution

The fourth proportional to 65.51, 98.32 and 24.94 is: 37.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.51 : 98.32 = 24.94 : x
  2. Step 2: Convert to fraction form
    65.51/98.32 = 24.94/x
  3. Step 3: Cross multiply
    65.51x = 98.32 × 24.94
  4. Step 4: Simplify right side
    65.51x = 2,452.10
  5. Step 5: Solve for x
    x = 2,452.10/65.51
  6. Step 6: Final answer
    x = 37.43

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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.