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Finding the Fourth Proportional to 65.30, 97.92 and 24.71

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Solution

The fourth proportional to 65.30, 97.92 and 24.71 is: 37.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.30 : 97.92 = 24.71 : x
  2. Step 2: Convert to fraction form
    65.30/97.92 = 24.71/x
  3. Step 3: Cross multiply
    65.30x = 97.92 × 24.71
  4. Step 4: Simplify right side
    65.30x = 2,419.11
  5. Step 5: Solve for x
    x = 2,419.11/65.30
  6. Step 6: Final answer
    x = 37.05

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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.