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Finding the Fourth Proportional to 75.64, 104.33 and 60.07

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Solution

The fourth proportional to 75.64, 104.33 and 60.07 is: 82.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 104.33 = 60.07 : x
  2. Step 2: Convert to fraction form
    75.64/104.33 = 60.07/x
  3. Step 3: Cross multiply
    75.64x = 104.33 × 60.07
  4. Step 4: Simplify right side
    75.64x = 6,266.80
  5. Step 5: Solve for x
    x = 6,266.80/75.64
  6. Step 6: Final answer
    x = 82.85

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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.