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Finding the Fourth Proportional to 65.02, 97.60 and 34.58

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Solution

The fourth proportional to 65.02, 97.60 and 34.58 is: 51.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.02 : 97.60 = 34.58 : x
  2. Step 2: Convert to fraction form
    65.02/97.60 = 34.58/x
  3. Step 3: Cross multiply
    65.02x = 97.60 × 34.58
  4. Step 4: Simplify right side
    65.02x = 3,375.01
  5. Step 5: Solve for x
    x = 3,375.01/65.02
  6. Step 6: Final answer
    x = 51.91

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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.