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Finding the Fourth Proportional to 74.91, 103.38 and 42.16

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Solution

The fourth proportional to 74.91, 103.38 and 42.16 is: 58.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.91 : 103.38 = 42.16 : x
  2. Step 2: Convert to fraction form
    74.91/103.38 = 42.16/x
  3. Step 3: Cross multiply
    74.91x = 103.38 × 42.16
  4. Step 4: Simplify right side
    74.91x = 4,359.05
  5. Step 5: Solve for x
    x = 4,359.05/74.91
  6. Step 6: Final answer
    x = 58.19

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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.