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Finding the Fourth Proportional to 74.64, 102.99 and 41.90

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Solution

The fourth proportional to 74.64, 102.99 and 41.90 is: 57.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.64 : 102.99 = 41.90 : x
  2. Step 2: Convert to fraction form
    74.64/102.99 = 41.90/x
  3. Step 3: Cross multiply
    74.64x = 102.99 × 41.90
  4. Step 4: Simplify right side
    74.64x = 4,314.77
  5. Step 5: Solve for x
    x = 4,314.77/74.64
  6. Step 6: Final answer
    x = 57.81

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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.