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Finding the Fourth Proportional to 65.02, 97.66 and 34.62

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Solution

The fourth proportional to 65.02, 97.66 and 34.62 is: 52.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.02 : 97.66 = 34.62 : x
  2. Step 2: Convert to fraction form
    65.02/97.66 = 34.62/x
  3. Step 3: Cross multiply
    65.02x = 97.66 × 34.62
  4. Step 4: Simplify right side
    65.02x = 3,380.99
  5. Step 5: Solve for x
    x = 3,380.99/65.02
  6. Step 6: Final answer
    x = 52.00

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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.