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Finding the Fourth Proportional to 71.94, 99.03 and 59.61

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Solution

The fourth proportional to 71.94, 99.03 and 59.61 is: 82.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.94 : 99.03 = 59.61 : x
  2. Step 2: Convert to fraction form
    71.94/99.03 = 59.61/x
  3. Step 3: Cross multiply
    71.94x = 99.03 × 59.61
  4. Step 4: Simplify right side
    71.94x = 5,903.18
  5. Step 5: Solve for x
    x = 5,903.18/71.94
  6. Step 6: Final answer
    x = 82.06

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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.