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Finding the Fourth Proportional to 67.64, 93.45 and 59.43

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Solution

The fourth proportional to 67.64, 93.45 and 59.43 is: 82.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 93.45 = 59.43 : x
  2. Step 2: Convert to fraction form
    67.64/93.45 = 59.43/x
  3. Step 3: Cross multiply
    67.64x = 93.45 × 59.43
  4. Step 4: Simplify right side
    67.64x = 5,554.31
  5. Step 5: Solve for x
    x = 5,554.31/67.64
  6. Step 6: Final answer
    x = 82.12

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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.