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Finding the Fourth Proportional to 65.27, 97.82 and 30.52

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Solution

The fourth proportional to 65.27, 97.82 and 30.52 is: 45.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.27 : 97.82 = 30.52 : x
  2. Step 2: Convert to fraction form
    65.27/97.82 = 30.52/x
  3. Step 3: Cross multiply
    65.27x = 97.82 × 30.52
  4. Step 4: Simplify right side
    65.27x = 2,985.17
  5. Step 5: Solve for x
    x = 2,985.17/65.27
  6. Step 6: Final answer
    x = 45.74

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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.