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Finding the Fourth Proportional to 74.81, 103.24 and 42.06

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Solution

The fourth proportional to 74.81, 103.24 and 42.06 is: 58.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.81 : 103.24 = 42.06 : x
  2. Step 2: Convert to fraction form
    74.81/103.24 = 42.06/x
  3. Step 3: Cross multiply
    74.81x = 103.24 × 42.06
  4. Step 4: Simplify right side
    74.81x = 4,342.17
  5. Step 5: Solve for x
    x = 4,342.17/74.81
  6. Step 6: Final answer
    x = 58.05

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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.