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Finding the Fourth Proportional to 65.11, 97.53 and 52.21

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Solution

The fourth proportional to 65.11, 97.53 and 52.21 is: 78.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.11 : 97.53 = 52.21 : x
  2. Step 2: Convert to fraction form
    65.11/97.53 = 52.21/x
  3. Step 3: Cross multiply
    65.11x = 97.53 × 52.21
  4. Step 4: Simplify right side
    65.11x = 5,091.93
  5. Step 5: Solve for x
    x = 5,091.93/65.11
  6. Step 6: Final answer
    x = 78.21

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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.