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Finding the Fourth Proportional to 97, 133.86 and 59.65

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Solution

The fourth proportional to 97, 133.86 and 59.65 is: 82.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97 : 133.86 = 59.65 : x
  2. Step 2: Convert to fraction form
    97/133.86 = 59.65/x
  3. Step 3: Cross multiply
    97x = 133.86 × 59.65
  4. Step 4: Simplify right side
    97x = 7,984.75
  5. Step 5: Solve for x
    x = 7,984.75/97
  6. Step 6: Final answer
    x = 82.32

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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.