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Finding the Fourth Proportional to 65.44, 97.64 and 58.96

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Solution

The fourth proportional to 65.44, 97.64 and 58.96 is: 87.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.44 : 97.64 = 58.96 : x
  2. Step 2: Convert to fraction form
    65.44/97.64 = 58.96/x
  3. Step 3: Cross multiply
    65.44x = 97.64 × 58.96
  4. Step 4: Simplify right side
    65.44x = 5,756.85
  5. Step 5: Solve for x
    x = 5,756.85/65.44
  6. Step 6: Final answer
    x = 87.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.