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Finding the Fourth Proportional to 74.48, 102.84 and 59.99

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Solution

The fourth proportional to 74.48, 102.84 and 59.99 is: 82.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.48 : 102.84 = 59.99 : x
  2. Step 2: Convert to fraction form
    74.48/102.84 = 59.99/x
  3. Step 3: Cross multiply
    74.48x = 102.84 × 59.99
  4. Step 4: Simplify right side
    74.48x = 6,169.37
  5. Step 5: Solve for x
    x = 6,169.37/74.48
  6. Step 6: Final answer
    x = 82.83

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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.