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Finding the Fourth Proportional to 72.84, 100.42 and 58.80

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Solution

The fourth proportional to 72.84, 100.42 and 58.80 is: 81.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.84 : 100.42 = 58.80 : x
  2. Step 2: Convert to fraction form
    72.84/100.42 = 58.80/x
  3. Step 3: Cross multiply
    72.84x = 100.42 × 58.80
  4. Step 4: Simplify right side
    72.84x = 5,904.70
  5. Step 5: Solve for x
    x = 5,904.70/72.84
  6. Step 6: Final answer
    x = 81.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.