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Finding the Fourth Proportional to 96.42, 133.14 and 59.64

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Solution

The fourth proportional to 96.42, 133.14 and 59.64 is: 82.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 133.14 = 59.64 : x
  2. Step 2: Convert to fraction form
    96.42/133.14 = 59.64/x
  3. Step 3: Cross multiply
    96.42x = 133.14 × 59.64
  4. Step 4: Simplify right side
    96.42x = 7,940.47
  5. Step 5: Solve for x
    x = 7,940.47/96.42
  6. Step 6: Final answer
    x = 82.35

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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.