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Finding the Fourth Proportional to 65.08, 97.65 and 41.05

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Solution

The fourth proportional to 65.08, 97.65 and 41.05 is: 61.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.08 : 97.65 = 41.05 : x
  2. Step 2: Convert to fraction form
    65.08/97.65 = 41.05/x
  3. Step 3: Cross multiply
    65.08x = 97.65 × 41.05
  4. Step 4: Simplify right side
    65.08x = 4,008.53
  5. Step 5: Solve for x
    x = 4,008.53/65.08
  6. Step 6: Final answer
    x = 61.59

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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.