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Finding the Fourth Proportional to 74.10, 102.26 and 44.99

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Solution

The fourth proportional to 74.10, 102.26 and 44.99 is: 62.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.10 : 102.26 = 44.99 : x
  2. Step 2: Convert to fraction form
    74.10/102.26 = 44.99/x
  3. Step 3: Cross multiply
    74.10x = 102.26 × 44.99
  4. Step 4: Simplify right side
    74.10x = 4,600.45
  5. Step 5: Solve for x
    x = 4,600.45/74.10
  6. Step 6: Final answer
    x = 62.08

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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.