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Finding the Fourth Proportional to 65.96, 91.12 and 59.05

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Solution

The fourth proportional to 65.96, 91.12 and 59.05 is: 81.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.96 : 91.12 = 59.05 : x
  2. Step 2: Convert to fraction form
    65.96/91.12 = 59.05/x
  3. Step 3: Cross multiply
    65.96x = 91.12 × 59.05
  4. Step 4: Simplify right side
    65.96x = 5,380.64
  5. Step 5: Solve for x
    x = 5,380.64/65.96
  6. Step 6: Final answer
    x = 81.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.